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class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">哈密顿算符</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往另一种语言写成的文章。38种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-38" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">38种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%87%D8%A7%D9%85%D9%84%D8%AA%D9%88%D9%86%D9%8A_(%D9%85%D9%8A%D9%83%D8%A7%D9%86%D9%8A%D9%83%D8%A7_%D8%A7%D9%84%D9%83%D9%85)" title="هاملتوني (ميكانيكا الكم) – 阿拉伯语" lang="ar" hreflang="ar" data-title="هاملتوني (ميكانيكا الكم)" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80_%D0%BD%D0%B0_%D0%A5%D0%B0%D0%BC%D0%B8%D0%BB%D1%82%D0%BE%D0%BD" title="Оператор на Хамилтон – 保加利亚语" lang="bg" hreflang="bg" data-title="Оператор на Хамилтон" data-language-autonym="Български" data-language-local-name="保加利亚语" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Hamiltoni%C3%A0" title="Hamiltonià – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Hamiltonià" data-language-autonym="Català" data-language-local-name="加泰罗尼亚语" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Hamilton%C5%AFv_oper%C3%A1tor" title="Hamiltonův operátor – 捷克语" lang="cs" hreflang="cs" data-title="Hamiltonův operátor" data-language-autonym="Čeština" data-language-local-name="捷克语" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Hamilton-operator" title="Hamilton-operator – 丹麦语" lang="da" hreflang="da" data-title="Hamilton-operator" data-language-autonym="Dansk" data-language-local-name="丹麦语" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Hamiltonoperator" title="Hamiltonoperator – 德语" lang="de" hreflang="de" data-title="Hamiltonoperator" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A7%CE%B1%CE%BC%CE%B9%CE%BB%CF%84%CE%BF%CE%BD%CE%B9%CE%B1%CE%BD%CE%AE" title="Χαμιλτονιανή – 希腊语" lang="el" hreflang="el" data-title="Χαμιλτονιανή" data-language-autonym="Ελληνικά" data-language-local-name="希腊语" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)" title="Hamiltonian (quantum mechanics) – 英语" lang="en" hreflang="en" data-title="Hamiltonian (quantum mechanics)" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Hamiltoniano_(mec%C3%A1nica_cu%C3%A1ntica)" title="Hamiltoniano (mecánica cuántica) – 西班牙语" lang="es" hreflang="es" data-title="Hamiltoniano (mecánica cuántica)" data-language-autonym="Español" data-language-local-name="西班牙语" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Hamiltoniaan" title="Hamiltoniaan – 爱沙尼亚语" lang="et" hreflang="et" data-title="Hamiltoniaan" data-language-autonym="Eesti" data-language-local-name="爱沙尼亚语" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%87%D8%A7%D9%85%DB%8C%D9%84%D8%AA%D9%88%D9%86%DB%8C%D9%86_(%D9%85%DA%A9%D8%A7%D9%86%DB%8C%DA%A9_%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D9%88%D9%85%DB%8C)" title="هامیلتونین (مکانیک کوانتومی) – 波斯语" lang="fa" hreflang="fa" data-title="هامیلتونین (مکانیک کوانتومی)" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Hamiltonin_operaattori" title="Hamiltonin operaattori – 芬兰语" lang="fi" hreflang="fi" data-title="Hamiltonin operaattori" data-language-autonym="Suomi" data-language-local-name="芬兰语" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Op%C3%A9rateur_hamiltonien" title="Opérateur hamiltonien – 法语" lang="fr" hreflang="fr" data-title="Opérateur hamiltonien" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Hamalt%C3%B3inian" title="Hamaltóinian – 爱尔兰语" lang="ga" hreflang="ga" data-title="Hamaltóinian" data-language-autonym="Gaeilge" data-language-local-name="爱尔兰语" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B9%E0%A5%88%E0%A4%AE%E0%A4%BF%E0%A4%B2%E0%A5%8D%E0%A4%9F%E0%A4%A8%E0%A5%80_%E0%A4%91%E0%A4%AA%E0%A4%B0%E0%A5%87%E0%A4%9F%E0%A4%B0" title="हैमिल्टनी ऑपरेटर – 印地语" lang="hi" hreflang="hi" data-title="हैमिल्टनी ऑपरेटर" data-language-autonym="हिन्दी" data-language-local-name="印地语" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hamilton-oper%C3%A1tor" title="Hamilton-operátor – 匈牙利语" lang="hu" hreflang="hu" data-title="Hamilton-operátor" data-language-autonym="Magyar" data-language-local-name="匈牙利语" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%A1%D5%B4%D5%AB%D5%AC%D5%BF%D5%B8%D5%B6%D5%B5%D5%A1%D5%B6_(%D6%84%D5%BE%D5%A1%D5%B6%D5%BF%D5%A1%D5%B5%D5%AB%D5%B6_%D5%B4%D5%A5%D5%AD%D5%A1%D5%B6%D5%AB%D5%AF%D5%A1)" title="Համիլտոնյան (քվանտային մեխանիկա) – 亚美尼亚语" lang="hy" hreflang="hy" data-title="Համիլտոնյան (քվանտային մեխանիկա)" data-language-autonym="Հայերեն" data-language-local-name="亚美尼亚语" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Operatore_hamiltoniano" title="Operatore hamiltoniano – 意大利语" lang="it" hreflang="it" data-title="Operatore hamiltoniano" data-language-autonym="Italiano" data-language-local-name="意大利语" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%8B%E3%82%A2%E3%83%B3" title="ハミルトニアン – 日语" lang="ja" hreflang="ja" data-title="ハミルトニアン" data-language-autonym="日本語" data-language-local-name="日语" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%95%B4%EB%B0%80%ED%86%A0%EB%8B%88%EC%96%B8_(%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99)" title="해밀토니언 (양자역학) – 韩语" lang="ko" hreflang="ko" data-title="해밀토니언 (양자역학)" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Hamiltonianas_(kvantin%C4%97_mechanika)" title="Hamiltonianas (kvantinė mechanika) – 立陶宛语" lang="lt" hreflang="lt" data-title="Hamiltonianas (kvantinė mechanika)" data-language-autonym="Lietuvių" data-language-local-name="立陶宛语" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Hamilton-operatoren" title="Hamilton-operatoren – 挪威尼诺斯克语" lang="nn" hreflang="nn" data-title="Hamilton-operatoren" data-language-autonym="Norsk nynorsk" data-language-local-name="挪威尼诺斯克语" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Hamilton-operator" title="Hamilton-operator – 书面挪威语" lang="nb" hreflang="nb" data-title="Hamilton-operator" data-language-autonym="Norsk bokmål" data-language-local-name="书面挪威语" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B9%E0%A9%88%E0%A8%AE%E0%A8%BF%E0%A8%B2%E0%A8%9F%E0%A9%8B%E0%A8%A8%E0%A9%80%E0%A8%85%E0%A8%A8_(%E0%A8%95%E0%A9%81%E0%A8%86%E0%A8%82%E0%A8%9F%E0%A8%AE_%E0%A8%AE%E0%A8%95%E0%A9%88%E0%A8%A8%E0%A8%BF%E0%A8%95%E0%A8%B8)" title="ਹੈਮਿਲਟੋਨੀਅਨ (ਕੁਆਂਟਮ ਮਕੈਨਿਕਸ) – 旁遮普语" lang="pa" hreflang="pa" data-title="ਹੈਮਿਲਟੋਨੀਅਨ (ਕੁਆਂਟਮ ਮਕੈਨਿਕਸ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="旁遮普语" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Operator_Hamiltona" title="Operator Hamiltona – 波兰语" lang="pl" hreflang="pl" data-title="Operator Hamiltona" data-language-autonym="Polski" data-language-local-name="波兰语" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%DB%81%DB%8C%D9%85%D9%84%D9%B9%D9%88%D9%86%DB%8C%D8%A6%D9%86_(%DA%A9%D9%88%D8%A7%D9%86%D9%B9%D9%85_%D9%85%DA%A9%DB%8C%D9%86%DA%A9%D8%B3)" title="ہیملٹونیئن (کوانٹم مکینکس) – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ہیملٹونیئن (کوانٹم مکینکس)" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Hamiltoniano_(mec%C3%A2nica_qu%C3%A2ntica)" title="Hamiltoniano (mecânica quântica) – 葡萄牙语" lang="pt" hreflang="pt" data-title="Hamiltoniano (mecânica quântica)" data-language-autonym="Português" data-language-local-name="葡萄牙语" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Hamiltonian_(mecanic%C4%83_cuantic%C4%83)" title="Hamiltonian (mecanică cuantică) – 罗马尼亚语" lang="ro" hreflang="ro" data-title="Hamiltonian (mecanică cuantică)" data-language-autonym="Română" data-language-local-name="罗马尼亚语" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%93%D0%B0%D0%BC%D0%B8%D0%BB%D1%8C%D1%82%D0%BE%D0%BD%D0%B8%D0%B0%D0%BD_(%D0%BA%D0%B2%D0%B0%D0%BD%D1%82%D0%BE%D0%B2%D0%B0%D1%8F_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0)" title="Гамильтониан (квантовая механика) – 俄语" lang="ru" hreflang="ru" data-title="Гамильтониан (квантовая механика)" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Hamiltonov_oper%C3%A1tor_(Hamiltonovej_funkcie)" title="Hamiltonov operátor (Hamiltonovej funkcie) – 斯洛伐克语" lang="sk" hreflang="sk" data-title="Hamiltonov operátor (Hamiltonovej funkcie)" data-language-autonym="Slovenčina" data-language-local-name="斯洛伐克语" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Hamiltonoperator" title="Hamiltonoperator – 瑞典语" lang="sv" hreflang="sv" data-title="Hamiltonoperator" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%81%E0%B8%AE%E0%B8%A1%E0%B8%B4%E0%B8%A5%E0%B9%82%E0%B8%97%E0%B9%80%E0%B8%99%E0%B8%B5%E0%B8%A2%E0%B8%99_(%E0%B8%81%E0%B8%A5%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C%E0%B8%84%E0%B8%A7%E0%B8%AD%E0%B8%99%E0%B8%95%E0%B8%B1%E0%B8%A1)" title="แฮมิลโทเนียน (กลศาสตร์ควอนตัม) – 泰语" lang="th" hreflang="th" data-title="แฮมิลโทเนียน (กลศาสตร์ควอนตัม)" data-language-autonym="ไทย" data-language-local-name="泰语" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hamilton_i%C5%9Flemcisi" title="Hamilton işlemcisi – 土耳其语" lang="tr" hreflang="tr" data-title="Hamilton işlemcisi" data-language-autonym="Türkçe" data-language-local-name="土耳其语" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%93%D0%B0%D0%BC%D0%B8%D0%BB%D1%8C%D1%82%D0%BE%D0%BD%D0%B8%D0%B0%D0%BD_(%D0%BA%D0%B2%D0%B0%D0%BD%D1%82_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0%D1%81%D1%8B)" title="Гамильтониан (квант механикасы) – 鞑靼语" lang="tt" hreflang="tt" data-title="Гамильтониан (квант механикасы)" data-language-autonym="Татарча / tatarça" data-language-local-name="鞑靼语" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D0%B0%D0%BC%D1%96%D0%BB%D1%8C%D1%82%D0%BE%D0%BD%D1%96%D0%B0%D0%BD" title="Гамільтоніан – 乌克兰语" lang="uk" hreflang="uk" data-title="Гамільтоніан" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Gamilton_operatori_(kvant_mexanikasi)" title="Gamilton operatori (kvant mexanikasi) – 乌兹别克语" lang="uz" hreflang="uz" data-title="Gamilton operatori (kvant mexanikasi)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="乌兹别克语" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/To%C3%A1n_t%E1%BB%AD_Hamilton" title="Toán tử Hamilton – 越南语" lang="vi" hreflang="vi" data-title="Toán tử Hamilton" data-language-autonym="Tiếng Việt" data-language-local-name="越南语" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%93%88%E5%AF%86%E9%A0%93%E7%AE%97%E7%AC%A6" title="哈密頓算符 – 文言文" lang="lzh" hreflang="lzh" data-title="哈密頓算符" data-language-autonym="文言" data-language-local-name="文言文" class="interlanguage-link-target"><span>文言</span></a></li> </ul> <div class="after-portlet 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href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" class="mw-redirect" title="量子力學">量子力學</a>中，<b>哈密頓算符</b>（英語：<span lang="en"><b>Hamiltonian</b></span>，缩写符号：<span lang="en"><i>H</i></span>或<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\hat {H}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>H</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\hat {H}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bb06de5217295d7fbdbf68fb9c5309a513fc99e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.843ex;" alt="{\displaystyle {\hat {H}}}"></span>）為一個<a href="/wiki/%E5%8F%AF%E8%A7%80%E6%B8%AC%E9%87%8F" class="mw-redirect" title="可觀測量">可觀測量</a>，對應於系統的<a href="/wiki/%E7%B8%BD%E8%83%BD%E9%87%8F" class="mw-redirect" title="總能量">總能量</a>。一如其他所有算符，哈密頓算符的譜為測量系統總能是所有可能結果的集合。如同其他<a href="/wiki/%E8%87%AA%E4%BC%B4%E7%AE%97%E7%AC%A6" class="mw-redirect" title="自伴算符">自伴算符</a>，哈密頓算符的<a href="/w/index.php?title=%E7%AE%97%E7%AC%A6%E7%9A%84%E8%AD%9C&action=edit&redlink=1" class="new" title="算符的譜（页面不存在）">譜</a>可以透過<a href="/w/index.php?title=%E8%AD%9C%E6%B8%AC%E5%BA%A6&action=edit&redlink=1" class="new" title="譜測度（页面不存在）">譜測度</a>（spectral measure）被分解，成為純點（pure point）、絕對連續（absolutely continuous）、奇點（singular）三種部分。純點譜與<a href="/wiki/%E6%9C%AC%E5%BE%81%E5%90%91%E9%87%8F" class="mw-redirect" title="本征向量">本徵向量</a>相應，而後者又對應到系統的<a href="/wiki/%E6%9D%9F%E7%BC%9A%E6%80%81" title="束缚态">束縛態</a>（bound states）。絕對連續譜則對應到自由態（free states）。奇點譜則很有趣地由物理學上不可能的結果所組成。舉例來說，考慮<a href="/wiki/%E6%9C%89%E9%99%90%E6%B7%B1%E6%96%B9%E5%BD%A2%E9%98%B1" title="有限深方形阱">有限深方形阱</a>的情形，其許可了具有離散負能量的束縛態，以及具有連續正能量的自由態。 </p><p>哈密頓算符產生了<a href="/wiki/%E9%87%8F%E5%AD%90%E6%85%8B" title="量子態">量子態</a>的<a href="/wiki/%E6%99%82%E9%96%93" class="mw-redirect" title="時間">時間</a>演化。若 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left|\psi (t)\right\rangle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>|</mo> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>⟩</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left|\psi (t)\right\rangle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ff277e550e74f3cd25a806b3684cee56703135d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.714ex; height:2.843ex;" alt="{\displaystyle \left|\psi (t)\right\rangle }"></span> 為在時間 <i>t</i> 的系統狀態， </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H\left|\psi (t)\right\rangle =\mathrm {i} \hbar {d \over dt}\left|\psi (t)\right\rangle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>H</mi> <mrow> <mo>|</mo> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>⟩</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mi class="MJX-variant">ℏ</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow> <mo>|</mo> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>⟩</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H\left|\psi (t)\right\rangle =\mathrm {i} \hbar {d \over dt}\left|\psi (t)\right\rangle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/071483ac57b3d03af82b06088dfc3f17a985d652" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:22.208ex; height:5.509ex;" alt="{\displaystyle H\left|\psi (t)\right\rangle =\mathrm {i} \hbar {d \over dt}\left|\psi (t)\right\rangle }"></span> 。</dd></dl> <p>其中 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de68de3a92517953436c93b5a76461d49160cc41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.306ex; height:2.176ex;" alt="{\displaystyle \hbar }"></span> 為<a href="/wiki/%E7%BA%A6%E5%8C%96%E6%99%AE%E6%9C%97%E5%85%8B%E5%B8%B8%E6%95%B0" class="mw-redirect" title="约化普朗克常数">約化普朗克常數</a>。此方程式為<a href="/wiki/%E8%96%9B%E4%B8%81%E6%A0%BC%E6%96%B9%E7%A8%8B%E5%BC%8F" class="mw-redirect" title="薛丁格方程式">薛丁格方程式</a>。（其與<a href="/wiki/%E5%93%88%E5%AF%86%E9%A1%BF-%E9%9B%85%E5%8F%AF%E6%AF%94%E6%96%B9%E7%A8%8B" class="mw-redirect" title="哈密顿-雅可比方程">哈密顿-雅可比方程</a>具有相同形式，也因為此，<i>H</i> 冠有哈密頓之名。）若給定系統在某一初始時間（<i>t</i> = 0）的狀態，我們可以積分得到接下來任何時間的系統狀態。其中特別的是，若 <i>H</i> 與時間無關，則 </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left|\psi (t)\right\rangle =\exp \left(-{\mathrm {i} Ht \over \hbar }\right)\left|\psi (0)\right\rangle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>|</mo> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mo>⟩</mo> </mrow> <mo>=</mo> <mi>exp</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mi>H</mi> <mi>t</mi> </mrow> <mi class="MJX-variant">ℏ</mi> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow> <mo>|</mo> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> <mo>⟩</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left|\psi (t)\right\rangle =\exp \left(-{\mathrm {i} Ht \over \hbar }\right)\left|\psi (0)\right\rangle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e51d2a7141028211d06bf78c9eb653c1d909148" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:28.403ex; height:6.176ex;" alt="{\displaystyle \left|\psi (t)\right\rangle =\exp \left(-{\mathrm {i} Ht \over \hbar }\right)\left|\psi (0)\right\rangle }"></span> 。</dd></dl> <div class="mw-heading mw-heading2"><h2 id="相關條目"><span id=".E7.9B.B8.E9.97.9C.E6.A2.9D.E7.9B.AE"></span>相關條目</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%93%88%E5%AF%86%E9%A1%BF%E7%AE%97%E7%AC%A6&action=edit&section=1" title="编辑章节：相關條目"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E5%93%88%E5%AF%86%E9%A1%BF%E5%8A%9B%E5%AD%A6" title="哈密顿力学">哈密頓力學</a></li> <li><a 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.mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Quantum_mechanics_topics" title="Template:Quantum mechanics topics"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Quantum_mechanics_topics" title="Template talk:Quantum mechanics topics"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:Quantum_mechanics_topics" title="Special:编辑页面/Template:Quantum mechanics topics"><abbr title="编辑该模板">编</abbr></a></li></ul></div><div id="量子力学" style="font-size:110%;margin:0 5em"><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%A6" title="量子力学">量子力学</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E5%85%A5%E9%96%80" title="量子力學入門">入門</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E7%9A%84%E6%95%B8%E5%AD%B8%E8%A1%A8%E8%BF%B0" title="量子力學的數學表述">數學表述</a></li> <li><a href="/wiki/%E7%89%A9%E7%90%86%E5%AD%A6%E5%8F%B2#量子理论" title="物理学史">歷史</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">背景</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E5%85%A5%E9%96%80" title="量子力學入門">入門</a></li> <li><a href="/wiki/%E7%89%A9%E7%90%86%E5%AD%A6%E5%8F%B2#量子理论" title="物理学史">歷史</a> <ul><li><span class="ilh-all" data-orig-title="量子力學時間軸" data-lang-code="en" data-lang-name="英语" data-foreign-title="Timeline of quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E6%99%82%E9%96%93%E8%BB%B8&action=edit&redlink=1" class="new" title="量子力學時間軸（页面不存在）">量子力學時間軸</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Timeline_of_quantum_mechanics" class="extiw" title="en:Timeline of quantum mechanics"><span lang="en" dir="auto">Timeline of quantum mechanics</span></a></span>）</span></span></li></ul></li> <li><a href="/wiki/%E7%BB%8F%E5%85%B8%E5%8A%9B%E5%AD%A6" title="经典力学">经典力学</a></li> <li><a href="/wiki/%E8%88%8A%E9%87%8F%E5%AD%90%E8%AB%96" title="舊量子論">舊量子論</a></li> <li><span class="ilh-all" data-orig-title="基本量子力學詞彙表" data-lang-code="en" data-lang-name="英语" data-foreign-title="Glossary of elementary quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E5%9F%BA%E6%9C%AC%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E8%A9%9E%E5%BD%99%E8%A1%A8&action=edit&redlink=1" class="new" title="基本量子力學詞彙表（页面不存在）">基本量子力學詞彙表</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Glossary_of_elementary_quantum_mechanics" class="extiw" title="en:Glossary of elementary quantum mechanics"><span lang="en" dir="auto">Glossary of elementary quantum mechanics</span></a></span>）</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">基礎</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E7%8B%84%E6%8B%89%E5%85%8B%E7%AC%A6%E5%8F%B7" title="狄拉克符号">狄拉克符号</a></li> <li><a href="/wiki/%E4%BA%92%E8%A1%A5%E5%8E%9F%E7%90%86" title="互补原理">互补原理</a></li> <li><a href="/wiki/%E5%AF%86%E5%BA%A6%E7%9F%A9%E9%99%A3" title="密度矩陣">密度矩陣</a></li> <li><a href="/wiki/%E8%83%BD%E7%BA%A7" title="能级">能级</a> <ul><li><a href="/wiki/%E5%9F%BA%E6%80%81" title="基态">基态</a></li> <li><a href="/wiki/%E6%BF%80%E5%8F%91%E6%80%81" title="激发态">激发态</a></li> <li><a href="/wiki/%E7%AE%80%E5%B9%B6%E8%83%BD%E7%BA%A7" title="简并能级">简并能级</a></li> <li><a href="/wiki/%E9%9B%B6%E9%BB%9E%E8%83%BD%E9%87%8F" title="零點能量">零點能量</a></li></ul></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%BA%8F%E7%B5%90" title="量子纏結">量子纏結</a></li> <li><a class="mw-selflink selflink">哈密顿算符</a></li> <li><a href="/wiki/%E5%B9%B2%E6%B6%89_(%E7%89%A9%E7%90%86%E5%AD%A6)" title="干涉 (物理学)">干涉</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E9%80%80%E7%9B%B8%E5%B9%B2" title="量子退相干">量子退相干</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%B8%AC%E9%87%8F" title="量子測量">量子測量</a></li> <li><span class="ilh-all" data-orig-title="量子非局部性" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum nonlocality"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E9%9D%9E%E5%B1%80%E9%83%A8%E6%80%A7&action=edit&redlink=1" class="new" title="量子非局部性（页面不存在）">量子非局部性</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_nonlocality" class="extiw" title="en:Quantum nonlocality"><span lang="en" dir="auto">Quantum nonlocality</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%85%8B" title="量子態">量子態</a></li> <li><a href="/wiki/%E6%80%81%E5%8F%A0%E5%8A%A0%E5%8E%9F%E7%90%86" title="态叠加原理">态叠加原理</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%A9%BF%E9%9A%A7%E6%95%88%E6%87%89" title="量子穿隧效應">量子穿隧效應</a></li> <li><span class="ilh-all" data-orig-title="散射理論" data-lang-code="en" data-lang-name="英语" data-foreign-title="Scattering theory"><span class="ilh-page"><a href="/w/index.php?title=%E6%95%A3%E5%B0%84%E7%90%86%E8%AB%96&action=edit&redlink=1" class="new" title="散射理論（页面不存在）">散射理論</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Scattering_theory" class="extiw" title="en:Scattering theory"><span lang="en" dir="auto">Scattering theory</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子力學對稱性" data-lang-code="en" data-lang-name="英语" data-foreign-title="Symmetry in quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E5%B0%8D%E7%A8%B1%E6%80%A7&action=edit&redlink=1" class="new" title="量子力學對稱性（页面不存在）">量子力學對稱性</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Symmetry_in_quantum_mechanics" class="extiw" title="en:Symmetry in quantum mechanics"><span lang="en" dir="auto">Symmetry in quantum mechanics</span></a></span>）</span></span></li> <li><a href="/wiki/%E4%B8%8D%E7%A1%AE%E5%AE%9A%E6%80%A7%E5%8E%9F%E7%90%86" title="不确定性原理">不确定性原理</a></li> <li><a href="/wiki/%E6%B3%A2%E5%87%BD%E6%95%B0" title="波函数">波函数</a> <ul><li><a href="/wiki/%E6%B3%A2%E5%87%BD%E6%95%B0%E5%9D%8D%E7%BC%A9" title="波函数坍缩">波函数坍缩</a></li> <li><a href="/wiki/%E6%B3%A2%E7%B2%92%E4%BA%8C%E8%B1%A1%E6%80%A7" title="波粒二象性">波粒二象性</a></li></ul></li> <li><span class="ilh-all" data-orig-title="量子跳躍" data-lang-code="en" data-lang-name="英语" data-foreign-title="Atomic electron transition"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%B7%B3%E8%BA%8D&action=edit&redlink=1" class="new" title="量子跳躍（页面不存在）">量子跳躍</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Atomic_electron_transition" class="extiw" title="en:Atomic electron transition"><span lang="en" dir="auto">Atomic electron transition</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E4%BD%8D%E5%85%83" title="量子位元">量子位元</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E4%B8%89%E4%BD%8D%E5%85%83" title="量子三位元">量子三位元</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">表述</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E7%9A%84%E6%95%B8%E5%AD%B8%E8%A1%A8%E8%BF%B0" title="量子力學的數學表述">量子力學的數學表述</a></li> <li><a href="/wiki/%E6%B5%B7%E6%A3%AE%E5%A0%A1%E7%B9%AA%E6%99%AF" title="海森堡繪景">海森堡繪景</a></li> <li><a href="/wiki/%E7%9B%B8%E4%BA%92%E4%BD%9C%E7%94%A8%E7%B9%AA%E6%99%AF" title="相互作用繪景">相互作用繪景</a></li> <li><a href="/wiki/%E7%9F%A9%E9%99%A3%E5%8A%9B%E5%AD%B8" title="矩陣力學">矩陣力學</a></li> <li><a href="/wiki/%E8%96%9B%E4%B8%81%E6%A0%BC%E7%B9%AA%E6%99%AF" title="薛丁格繪景">薛丁格繪景</a></li> <li><a href="/wiki/%E8%B7%AF%E5%BE%91%E7%A9%8D%E5%88%86%E8%A1%A8%E8%BF%B0" title="路徑積分表述">路徑積分表述</a></li> <li><a href="/wiki/%E7%9B%B8%E7%A9%BA%E9%97%B4%E8%A1%A8%E8%BF%B0" title="相空间表述">相空间表述</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">方程</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E7%8B%84%E6%8B%89%E5%85%8B%E6%96%B9%E7%A8%8B%E5%BC%8F" title="狄拉克方程式">狄拉克方程式</a></li> <li><a href="/wiki/%E5%85%8B%E8%8E%B1%E5%9B%A0-%E6%88%88%E5%B0%94%E7%99%BB%E6%96%B9%E7%A8%8B" title="克莱因-戈尔登方程">克莱因-戈尔登方程</a></li> <li><a href="/wiki/%E5%8C%85%E7%AB%8B%E6%96%B9%E7%A8%8B%E5%BC%8F" title="包立方程式">包立方程式</a></li> <li><a href="/wiki/%E8%96%9B%E5%AE%9A%E8%B0%94%E6%96%B9%E7%A8%8B" title="薛定谔方程">薛定谔方程</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">空間幾何</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E5%B8%83%E6%B4%9B%E8%B5%AB%E7%90%83%E9%9D%A2" title="布洛赫球面">布洛赫球面</a></li> <li><span class="ilh-all" data-orig-title="旋矢空間" data-lang-code="en" data-lang-name="英语" data-foreign-title="Gyrovector space"><span class="ilh-page"><a href="/w/index.php?title=%E6%97%8B%E7%9F%A2%E7%A9%BA%E9%96%93&action=edit&redlink=1" class="new" title="旋矢空間（页面不存在）">旋矢空間</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Gyrovector_space" class="extiw" title="en:Gyrovector space"><span lang="en" dir="auto">Gyrovector space</span></a></span>）</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">詮釋</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8%E8%A9%AE%E9%87%8B" title="量子力學詮釋">量子力學詮釋</a></li> <li><span class="ilh-all" data-orig-title="量子貝葉斯詮釋" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum Bayesianism"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%B2%9D%E8%91%89%E6%96%AF%E8%A9%AE%E9%87%8B&action=edit&redlink=1" class="new" title="量子貝葉斯詮釋（页面不存在）">量子貝葉斯詮釋</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_Bayesianism" class="extiw" title="en:Quantum Bayesianism"><span lang="en" dir="auto">Quantum Bayesianism</span></a></span>）</span></span></li> <li><a href="/wiki/%E4%B8%80%E8%87%B4%E6%80%A7%E5%8E%86%E5%8F%B2" title="一致性历史">一致性历史</a></li> <li><a href="/wiki/%E5%93%A5%E6%9C%AC%E5%93%88%E6%A0%B9%E8%A9%AE%E9%87%8B" title="哥本哈根詮釋">哥本哈根詮釋</a></li> <li><a href="/wiki/%E5%BE%B7%E5%B8%83%E7%BD%97%E6%84%8F-%E7%8E%BB%E5%A7%86%E7%90%86%E8%AE%BA" title="德布罗意-玻姆理论">德布罗意-玻姆理论</a></li> <li><a href="/wiki/%E7%B3%BB%E7%B6%9C%E8%A9%AE%E9%87%8B" title="系綜詮釋">系綜詮釋</a></li> <li><a href="/wiki/%E9%9A%B1%E8%AE%8A%E9%87%8F%E7%90%86%E8%AB%96" title="隱變量理論">隱變量理論</a></li> <li><a href="/wiki/%E5%A4%9A%E4%B8%96%E7%95%8C%E8%AF%A0%E9%87%8A" title="多世界诠释">多世界诠释</a></li> <li><a href="/wiki/%E5%AE%A2%E8%A7%80%E5%9D%8D%E7%B8%AE%E7%90%86%E8%AB%96" title="客觀坍縮理論">客觀坍縮理論</a></li> <li><span class="ilh-all" data-orig-title="量子邏輯" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum logic"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E9%82%8F%E8%BC%AF&action=edit&redlink=1" class="new" title="量子邏輯（页面不存在）">量子邏輯</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_logic" class="extiw" title="en:Quantum logic"><span lang="en" dir="auto">Quantum logic</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%97%9C%E4%BF%82%E6%80%A7%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" title="關係性量子力學">關係性量子力學</a></li> <li><span class="ilh-all" data-orig-title="隨機量子力學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Stochastic quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E9%9A%A8%E6%A9%9F%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8&action=edit&redlink=1" class="new" title="隨機量子力學（页面不存在）">隨機量子力學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Stochastic_quantum_mechanics" class="extiw" title="en:Stochastic quantum mechanics"><span lang="en" dir="auto">Stochastic quantum mechanics</span></a></span>）</span></span></li> <li><a href="/wiki/%E4%BA%A4%E6%98%93%E8%A9%AE%E9%87%8B" title="交易詮釋">交易詮釋</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%A6%E7%9A%84%E5%AE%87%E5%AE%99%E5%AD%A6%E8%AF%A0%E9%87%8A" title="量子力学的宇宙学诠释">宇宙学诠释</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">實驗</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%98%BF%E5%BC%97%E6%B2%99%E7%88%BE%E5%AF%A6%E9%A9%97" title="阿弗沙爾實驗">阿弗沙爾實驗</a></li> <li><span class="ilh-all" data-orig-title="貝爾測試實驗" data-lang-code="en" data-lang-name="英语" data-foreign-title="Bell test experiments"><span class="ilh-page"><a href="/w/index.php?title=%E8%B2%9D%E7%88%BE%E6%B8%AC%E8%A9%A6%E5%AF%A6%E9%A9%97&action=edit&redlink=1" class="new" title="貝爾測試實驗（页面不存在）">貝爾測試實驗</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Bell_test_experiments" class="extiw" title="en:Bell test experiments"><span lang="en" dir="auto">Bell test experiments</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="冷原子實驗室" data-lang-code="en" data-lang-name="英语" data-foreign-title="Cold Atom Laboratory"><span class="ilh-page"><a href="/w/index.php?title=%E5%86%B7%E5%8E%9F%E5%AD%90%E5%AF%A6%E9%A9%97%E5%AE%A4&action=edit&redlink=1" class="new" title="冷原子實驗室（页面不存在）">冷原子實驗室</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Cold_Atom_Laboratory" class="extiw" title="en:Cold Atom Laboratory"><span lang="en" dir="auto">Cold Atom Laboratory</span></a></span>）</span></span></li> <li><a href="/wiki/%E6%88%B4%E7%B6%AD%E6%A3%AE-%E9%9D%A9%E6%9C%AB%E5%AF%A6%E9%A9%97" title="戴維森-革末實驗">戴維森-革末實驗</a></li> <li><a href="/wiki/%E5%BB%B6%E9%81%B2%E9%81%B8%E6%93%87%E9%87%8F%E5%AD%90%E6%93%A6%E9%99%A4%E5%AF%A6%E9%A9%97" title="延遲選擇量子擦除實驗">延遲選擇量子擦除實驗</a></li> <li><a href="/wiki/%E9%9B%99%E7%B8%AB%E5%AF%A6%E9%A9%97" title="雙縫實驗">雙縫實驗</a></li> <li><a href="/wiki/%E6%B3%95%E8%98%AD%E5%85%8B-%E8%B5%AB%E8%8C%B2%E5%AF%A6%E9%A9%97" title="法蘭克-赫茲實驗">法蘭克-赫茲實驗</a></li> <li><span class="ilh-all" data-orig-title="萊格特 - 加爾格不等式" data-lang-code="en" data-lang-name="英语" data-foreign-title="Leggett–Garg inequality"><span class="ilh-page"><a href="/w/index.php?title=%E8%90%8A%E6%A0%BC%E7%89%B9_-_%E5%8A%A0%E7%88%BE%E6%A0%BC%E4%B8%8D%E7%AD%89%E5%BC%8F&action=edit&redlink=1" class="new" title="萊格特 - 加爾格不等式（页面不存在）">萊格特 - 加爾格不等式</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Leggett%E2%80%93Garg_inequality" class="extiw" title="en:Leggett–Garg inequality"><span lang="en" dir="auto">Leggett–Garg inequality</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%A6%AC%E8%B5%AB-%E6%9B%BE%E5%BE%B7%E7%88%BE%E5%B9%B2%E6%B6%89%E5%84%80" title="馬赫-曾德爾干涉儀">馬赫-曾德爾干涉儀</a></li> <li><a href="/wiki/%E4%BC%8A%E5%88%A9%E6%BE%A4-%E5%A8%81%E5%BE%B7%E6%9B%BC%E7%82%B8%E5%BD%88%E6%B8%AC%E8%A9%A6%E5%95%8F%E9%A1%8C" title="伊利澤-威德曼炸彈測試問題">伊利澤-威德曼炸彈測試問題</a></li> <li><a href="/wiki/%E6%B3%A2%E6%99%AE%E5%B0%94%E5%AE%9E%E9%AA%8C" title="波普尔实验">波普尔实验</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%93%A6%E9%99%A4%E5%AF%A6%E9%A9%97" title="量子擦除實驗">量子擦除實驗</a></li> <li><a href="/wiki/%E8%96%9B%E5%AE%9A%E8%B0%94%E7%8C%AB" title="薛定谔猫">薛定谔猫</a></li> <li><a href="/wiki/%E6%96%BD%E7%89%B9%E6%81%A9-%E6%A0%BC%E6%8B%89%E8%B5%AB%E5%AE%9E%E9%AA%8C" title="施特恩-格拉赫实验">施特恩-格拉赫实验</a></li> <li><a href="/wiki/%E6%83%A0%E5%8B%92%E5%BB%B6%E8%BF%9F%E9%80%89%E6%8B%A9%E5%AE%9E%E9%AA%8C" title="惠勒延迟选择实验">惠勒延迟选择实验</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="ilh-all" data-orig-title="量子奈米科學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum nanoscience"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%A5%88%E7%B1%B3%E7%A7%91%E5%AD%B8&action=edit&redlink=1" class="new" title="量子奈米科學（页面不存在）">量子纳米科学</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_nanoscience" class="extiw" title="en:Quantum nanoscience"><span lang="en" dir="auto">Quantum nanoscience</span></a></span>）</span></span></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="ilh-all" data-orig-title="量子貝葉斯詮釋" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum Bayesianism"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%B2%9D%E8%91%89%E6%96%AF%E8%A9%AE%E9%87%8B&action=edit&redlink=1" class="new" title="量子貝葉斯詮釋（页面不存在）">量子貝葉斯詮釋</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_Bayesianism" class="extiw" title="en:Quantum Bayesianism"><span lang="en" dir="auto">Quantum Bayesianism</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%94%9F%E7%89%A9%E5%AD%A6" title="量子生物学">量子生物学</a></li> <li><span class="ilh-all" data-orig-title="量子微積分" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum calculus"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%BE%AE%E7%A9%8D%E5%88%86&action=edit&redlink=1" class="new" title="量子微積分（页面不存在）">量子微積分</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_calculus" class="extiw" title="en:Quantum calculus"><span lang="en" dir="auto">Quantum calculus</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%8C%96%E5%AD%A6" title="量子化学">量子化学</a></li> <li><span class="ilh-all" data-orig-title="量子混沌" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum chaos"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%B7%B7%E6%B2%8C&action=edit&redlink=1" class="new" title="量子混沌（页面不存在）">量子混沌</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_chaos" class="extiw" title="en:Quantum chaos"><span lang="en" dir="auto">Quantum chaos</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子認知" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum cognition"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%AA%8D%E7%9F%A5&action=edit&redlink=1" class="new" title="量子認知（页面不存在）">量子認知</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_cognition" class="extiw" title="en:Quantum cognition"><span lang="en" dir="auto">Quantum cognition</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%AE%87%E5%AE%99%E5%AD%B8" title="量子宇宙學">量子宇宙學</a></li> <li><span class="ilh-all" data-orig-title="量子微分" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum differential calculus"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%BE%AE%E5%88%86&action=edit&redlink=1" class="new" title="量子微分（页面不存在）">量子微分</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_differential_calculus" class="extiw" title="en:Quantum differential calculus"><span lang="en" dir="auto">Quantum differential calculus</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子動力學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum dynamics"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%8B%95%E5%8A%9B%E5%AD%B8&action=edit&redlink=1" class="new" title="量子動力學（页面不存在）">量子動力學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_dynamics" class="extiw" title="en:Quantum dynamics"><span lang="en" dir="auto">Quantum dynamics</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子演化" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum evolution"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%BC%94%E5%8C%96&action=edit&redlink=1" class="new" title="量子演化（页面不存在）">量子演化</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_evolution" class="extiw" title="en:Quantum evolution"><span lang="en" dir="auto">Quantum evolution</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子幾何" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum geometry"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%B9%BE%E4%BD%95&action=edit&redlink=1" class="new" title="量子幾何（页面不存在）">量子幾何</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_geometry" class="extiw" title="en:Quantum geometry"><span lang="en" dir="auto">Quantum geometry</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%BE%A4" title="量子群">量子群</a></li> <li><span class="ilh-all" data-orig-title="測量問題" data-lang-code="en" data-lang-name="英语" data-foreign-title="Measurement problem"><span class="ilh-page"><a href="/w/index.php?title=%E6%B8%AC%E9%87%8F%E5%95%8F%E9%A1%8C&action=edit&redlink=1" class="new" title="測量問題（页面不存在）">測量問題</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Measurement_problem" class="extiw" title="en:Measurement problem"><span lang="en" dir="auto">Measurement problem</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子概率" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum probability"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%A6%82%E7%8E%87&action=edit&redlink=1" class="new" title="量子概率（页面不存在）">量子概率</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_probability" class="extiw" title="en:Quantum probability"><span lang="en" dir="auto">Quantum probability</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子隨機演算" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum stochastic calculus"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E9%9A%A8%E6%A9%9F%E6%BC%94%E7%AE%97&action=edit&redlink=1" class="new" title="量子隨機演算（页面不存在）">量子隨機演算</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_stochastic_calculus" class="extiw" title="en:Quantum stochastic calculus"><span lang="en" dir="auto">Quantum stochastic calculus</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子時空" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum spacetime"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%99%82%E7%A9%BA&action=edit&redlink=1" class="new" title="量子時空（页面不存在）">量子時空</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_spacetime" class="extiw" title="en:Quantum spacetime"><span lang="en" dir="auto">Quantum spacetime</span></a></span>）</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E9%87%8F%E5%AD%90%E6%8A%80%E8%A1%93" title="量子技術">量子技術</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%BC%94%E7%AE%97%E6%B3%95" title="量子演算法">量子演算法</a></li> <li><span class="ilh-all" data-orig-title="量子放大器" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum amplifier"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%94%BE%E5%A4%A7%E5%99%A8&action=edit&redlink=1" class="new" title="量子放大器（页面不存在）">量子放大器</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_amplifier" class="extiw" title="en:Quantum amplifier"><span lang="en" dir="auto">Quantum amplifier</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子總線" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum bus"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E7%B8%BD%E7%B7%9A&action=edit&redlink=1" class="new" title="量子總線（页面不存在）">量子總線</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_bus" class="extiw" title="en:Quantum bus"><span lang="en" dir="auto">Quantum bus</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%82%B9" title="量子点">量子点</a> <ul><li><span class="ilh-all" data-orig-title="量子細胞自動機" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum cellular automaton"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E7%B4%B0%E8%83%9E%E8%87%AA%E5%8B%95%E6%A9%9F&action=edit&redlink=1" class="new" title="量子細胞自動機（页面不存在）">量子細胞自動機</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_cellular_automaton" class="extiw" title="en:Quantum cellular automaton"><span lang="en" dir="auto">Quantum cellular automaton</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%9C%89%E9%99%90%E8%87%AA%E5%8B%95%E6%A9%9F" title="量子有限自動機">量子有限自動機</a></li></ul></li> <li><span class="ilh-all" data-orig-title="量子通道" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum channel"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E9%80%9A%E9%81%93&action=edit&redlink=1" class="new" title="量子通道（页面不存在）">量子通道</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_channel" class="extiw" title="en:Quantum channel"><span lang="en" dir="auto">Quantum channel</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%B7%9A%E8%B7%AF" title="量子線路">量子線路</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%A4%8D%E6%9D%82%E6%80%A7%E7%90%86%E8%AE%BA" title="量子复杂性理论">量子复杂性理论</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E8%AE%A1%E7%AE%97%E6%9C%BA" title="量子计算机">量子计算机</a> <ul><li><span class="ilh-all" data-orig-title="量子計算時間軸" data-lang-code="en" data-lang-name="英语" data-foreign-title="Timeline of quantum computing"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%A8%88%E7%AE%97%E6%99%82%E9%96%93%E8%BB%B8&action=edit&redlink=1" class="new" title="量子計算時間軸（页面不存在）">量子計算時間軸</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Timeline_of_quantum_computing" class="extiw" title="en:Timeline of quantum computing"><span lang="en" dir="auto">Timeline of quantum computing</span></a></span>）</span></span></li></ul></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%AF%86%E7%A2%BC%E5%AD%B8" title="量子密碼學">量子密碼學</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%85%89%E5%AD%A6" title="量子光学">量子電子學</a></li> <li><span class="ilh-all" data-orig-title="量子誤差校正" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum error correction"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%AA%A4%E5%B7%AE%E6%A0%A1%E6%AD%A3&action=edit&redlink=1" class="new" title="量子誤差校正（页面不存在）">量子誤差校正</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_error_correction" class="extiw" title="en:Quantum error correction"><span lang="en" dir="auto">Quantum error correction</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%88%90%E5%83%8F" title="量子成像">量子成像</a></li> <li><span class="ilh-all" data-orig-title="量子圖像處理" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum image processing"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%9C%96%E5%83%8F%E8%99%95%E7%90%86&action=edit&redlink=1" class="new" title="量子圖像處理（页面不存在）">量子圖像處理</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_image_processing" class="extiw" title="en:Quantum image processing"><span lang="en" dir="auto">Quantum image processing</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E4%BF%A1%E6%81%AF" title="量子信息">量子信息</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%AF%86%E9%91%B0%E5%88%86%E7%99%BC" title="量子密鑰分發">量子密鑰分發</a></li> <li><span class="ilh-all" data-orig-title="量子邏輯" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum logic"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E9%82%8F%E8%BC%AF&action=edit&redlink=1" class="new" title="量子邏輯（页面不存在）">量子邏輯</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_logic" class="extiw" title="en:Quantum logic"><span lang="en" dir="auto">Quantum logic</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E9%96%98" title="量子閘">量子閘</a></li> <li><span class="ilh-all" data-orig-title="量子機" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum machine"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%A9%9F&action=edit&redlink=1" class="new" title="量子機（页面不存在）">量子機</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_machine" class="extiw" title="en:Quantum machine"><span lang="en" dir="auto">Quantum machine</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E6%A9%9F%E5%99%A8%E5%AD%B8%E7%BF%92" title="量子機器學習">量子機器學習</a></li> <li><span class="ilh-all" data-orig-title="量子超材料" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum metamaterial"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%B6%85%E6%9D%90%E6%96%99&action=edit&redlink=1" class="new" title="量子超材料（页面不存在）">量子超材料</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_metamaterial" class="extiw" title="en:Quantum metamaterial"><span lang="en" dir="auto">Quantum metamaterial</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子計量學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum metrology"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E8%A8%88%E9%87%8F%E5%AD%B8&action=edit&redlink=1" class="new" title="量子計量學（页面不存在）">量子計量學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_metrology" class="extiw" title="en:Quantum metrology"><span lang="en" dir="auto">Quantum metrology</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子网络" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum network"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E7%BD%91%E7%BB%9C&action=edit&redlink=1" class="new" title="量子网络（页面不存在）">量子网络</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_network" class="extiw" title="en:Quantum network"><span lang="en" dir="auto">Quantum network</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子神經網絡" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum neural network"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E7%A5%9E%E7%B6%93%E7%B6%B2%E7%B5%A1&action=edit&redlink=1" class="new" title="量子神經網絡（页面不存在）">量子神經網絡</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_neural_network" class="extiw" title="en:Quantum neural network"><span lang="en" dir="auto">Quantum neural network</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%85%89%E5%AD%A6" title="量子光学">量子光学</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E7%B7%A8%E7%A8%8B" title="量子編程">量子編程</a></li> <li><span class="ilh-all" data-orig-title="量子傳感器" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum sensor"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%82%B3%E6%84%9F%E5%99%A8&action=edit&redlink=1" class="new" title="量子傳感器（页面不存在）">量子傳感器</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_sensor" class="extiw" title="en:Quantum sensor"><span lang="en" dir="auto">Quantum sensor</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="量子模擬器" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum simulator"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E6%A8%A1%E6%93%AC%E5%99%A8&action=edit&redlink=1" class="new" title="量子模擬器（页面不存在）">量子模擬器</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_simulator" class="extiw" title="en:Quantum simulator"><span lang="en" dir="auto">Quantum simulator</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E9%9A%B1%E5%BD%A2%E5%82%B3%E6%85%8B" title="量子隱形傳態">量子隱形傳態</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">進階研究</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="ilh-all" data-orig-title="量子統計力學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Quantum statistical mechanics"><span class="ilh-page"><a href="/wiki/%E9%87%8F%E5%AD%90%E7%BB%9F%E8%AE%A1%E5%8A%9B%E5%AD%A6" title="量子统计力学">量子統計力學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Quantum_statistical_mechanics" class="extiw" title="en:Quantum statistical mechanics"><span lang="en" dir="auto">Quantum statistical mechanics</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="相對論之量子力學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Relativistic quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E7%9B%B8%E5%B0%8D%E8%AB%96%E4%B9%8B%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8&action=edit&redlink=1" class="new" title="相對論之量子力學（页面不存在）">相對論之量子力學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Relativistic_quantum_mechanics" class="extiw" title="en:Relativistic quantum mechanics"><span lang="en" dir="auto">Relativistic quantum mechanics</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%9C%BA%E8%AE%BA" title="量子场论">量子场论</a> <ul><li><span class="ilh-all" data-orig-title="量子場理論史" data-lang-code="en" data-lang-name="英语" data-foreign-title="History of quantum field theory"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8F%E5%AD%90%E5%A0%B4%E7%90%86%E8%AB%96%E5%8F%B2&action=edit&redlink=1" class="new" title="量子場理論史（页面不存在）">量子場理論史</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/History_of_quantum_field_theory" class="extiw" title="en:History of quantum field theory"><span lang="en" dir="auto">History of quantum field theory</span></a></span>）</span></span></li></ul></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E5%BC%95%E5%8A%9B" title="量子引力">量子引力</a></li> <li><span class="ilh-all" data-orig-title="分數量子力學" data-lang-code="en" data-lang-name="英语" data-foreign-title="Fractional quantum mechanics"><span class="ilh-page"><a href="/w/index.php?title=%E5%88%86%E6%95%B8%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8&action=edit&redlink=1" class="new" title="分數量子力學（页面不存在）">分數量子力學</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Fractional_quantum_mechanics" class="extiw" title="en:Fractional quantum mechanics"><span lang="en" dir="auto">Fractional quantum mechanics</span></a></span>）</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">物理學者</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E9%A9%AC%E5%85%8B%E6%96%AF%C2%B7%E6%99%AE%E6%9C%97%E5%85%8B" title="马克斯·普朗克">普朗克</a></li> <li><a href="/wiki/%E5%B0%BC%E5%B0%94%E6%96%AF%C2%B7%E7%8E%BB%E5%B0%94" title="尼尔斯·玻尔">玻尔</a></li> <li><a href="/wiki/%E4%BF%9D%E7%BD%97%C2%B7%E5%9F%83%E4%BC%A6%E8%B4%B9%E6%96%AF%E7%89%B9" title="保罗·埃伦费斯特">埃倫費斯特</a></li> <li><a href="/wiki/%E7%BB%B4%E5%B0%94%E7%BA%B3%C2%B7%E6%B5%B7%E6%A3%AE%E5%A0%A1" title="维尔纳·海森堡">海森堡</a></li> <li><a href="/wiki/%E5%9F%83%E5%B0%94%E6%B8%A9%C2%B7%E8%96%9B%E5%AE%9A%E8%B0%94" title="埃尔温·薛定谔">薛丁格</a></li> <li><a href="/wiki/%E8%B7%AF%E6%98%93%C2%B7%E5%BE%B7%E5%B8%83%E7%BD%97%E6%84%8F" title="路易·德布罗意">德布羅意</a></li> <li><a href="/wiki/%E9%A9%AC%E5%85%8B%E6%96%AF%C2%B7%E7%8E%BB%E6%81%A9" title="马克斯·玻恩">玻恩</a></li> <li><a href="/wiki/%E9%98%BF%E5%B0%94%E4%BC%AF%E7%89%B9%C2%B7%E7%88%B1%E5%9B%A0%E6%96%AF%E5%9D%A6" title="阿尔伯特·爱因斯坦">愛因斯坦</a></li> <li><a href="/wiki/%E4%BC%91%C2%B7%E8%89%BE%E5%BC%97%E9%9B%B7%E7%89%B9%E4%B8%89%E4%B8%96" title="休·艾弗雷特三世">艾弗雷特</a></li> <li><a href="/wiki/%E9%98%BF%E8%AB%BE%C2%B7%E7%B4%A2%E6%9C%AB%E8%8F%B2" title="阿諾·索末菲">索末菲</a></li> 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