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</nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button 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<span class="vector-toc-numb">5</span> <span>註釋</span> </div> </a> <ul id="toc-註釋-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="目录" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" 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">拉莫爾進動</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。26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-26" 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">26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/%D8%A8%D8%AF%D8%A7%D8%B1%D9%8A%D8%A9_%D9%84%D8%A7%D8%B1%D9%85%D9%88%D8%B1" title="بدارية لارمور – 阿拉伯语" lang="ar" hreflang="ar" data-title="بدارية لارمور" 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%9F%D1%80%D0%B5%D1%86%D0%B5%D1%81%D0%B8%D1%8F_%D0%B8_%D1%87%D0%B5%D1%81%D1%82%D0%BE%D1%82%D0%B0_%D0%BD%D0%B0_%D0%9B%D0%B0%D1%80%D0%BC%D0%BE%D1%80" title="Прецесия и честота на Лармор – 保加利亚语" lang="bg" hreflang="bg" data-title="Прецесия и честота на Лармор" 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/Precessi%C3%B3_de_Larmor" title="Precessió de Larmor – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Precessió de Larmor" 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/Larmorova_precese" title="Larmorova precese – 捷克语" lang="cs" hreflang="cs" data-title="Larmorova precese" 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-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Larmorpr%C3%A4zession" title="Larmorpräzession – 德语" lang="de" hreflang="de" data-title="Larmorpräzession" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Larmor_precession" title="Larmor precession – 英语" lang="en" hreflang="en" data-title="Larmor precession" 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/Precesi%C3%B3n_de_Larmor" title="Precesión de Larmor – 西班牙语" lang="es" hreflang="es" data-title="Precesión de Larmor" 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/Larmori_pretsessioon" title="Larmori pretsessioon – 爱沙尼亚语" lang="et" hreflang="et" data-title="Larmori pretsessioon" 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%81%D8%B1%DA%A9%D8%A7%D9%86%D8%B3_%D9%84%D8%A7%D8%B1%D9%85%D9%88%D8%B1" title="فرکانس لارمور – 波斯语" lang="fa" hreflang="fa" data-title="فرکانس لارمور" 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/Larmorin_prekessio" title="Larmorin prekessio – 芬兰语" lang="fi" hreflang="fi" data-title="Larmorin prekessio" 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/Pr%C3%A9cession_de_Larmor" title="Précession de Larmor – 法语" lang="fr" hreflang="fr" data-title="Précession de Larmor" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Larmorfrekwens" title="Larmorfrekwens – 北弗里西亚语" lang="frr" hreflang="frr" data-title="Larmorfrekwens" data-language-autonym="Nordfriisk" data-language-local-name="北弗里西亚语" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Luain%C3%ADocht_Larmor" title="Luainíocht Larmor – 爱尔兰语" lang="ga" hreflang="ga" data-title="Luainíocht Larmor" 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-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A0%D7%A7%D7%99%D7%A4%D7%AA_%D7%9C%D7%A8%D7%9E%D7%95%D7%A8" title="נקיפת לרמור – 希伯来语" lang="he" hreflang="he" data-title="נקיפת לרמור" data-language-autonym="עברית" data-language-local-name="希伯来语" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Larmorova_precesija" title="Larmorova precesija – 克罗地亚语" lang="hr" hreflang="hr" data-title="Larmorova precesija" data-language-autonym="Hrvatski" data-language-local-name="克罗地亚语" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Larmor-precesszi%C3%B3" title="Larmor-precesszió – 匈牙利语" lang="hu" hreflang="hu" data-title="Larmor-precesszió" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Precessione_di_Larmor" title="Precessione di Larmor – 意大利语" lang="it" hreflang="it" data-title="Precessione di Larmor" 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%A9%E3%83%BC%E3%83%A2%E3%82%A2%E6%AD%B3%E5%B7%AE%E9%81%8B%E5%8B%95" title="ラーモア歳差運動 – 日语" lang="ja" hreflang="ja" data-title="ラーモア歳差運動" 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-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Larmoro_precesija" title="Larmoro precesija – 立陶宛语" lang="lt" hreflang="lt" data-title="Larmoro precesija" 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/Larmorpresesjon" title="Larmorpresesjon – 挪威尼诺斯克语" lang="nn" hreflang="nn" data-title="Larmorpresesjon" 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-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Precesja_Larmora" title="Precesja Larmora – 波兰语" lang="pl" hreflang="pl" data-title="Precesja Larmora" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Frequ%C3%AAncia_de_Larmor" title="Frequência de Larmor – 葡萄牙语" lang="pt" hreflang="pt" data-title="Frequência de Larmor" 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-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%B0%D1%80%D0%BC%D0%BE%D1%80%D0%BE%D0%B2%D1%81%D0%BA%D0%B0%D1%8F_%D0%BF%D1%80%D0%B5%D1%86%D0%B5%D1%81%D1%81%D0%B8%D1%8F" title="Ларморовская прецессия – 俄语" lang="ru" hreflang="ru" data-title="Ларморовская прецессия" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Larmorjeva_frekvenca" title="Larmorjeva frekvenca – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Larmorjeva frekvenca" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%AB%E0%B8%A1%E0%B8%B8%E0%B8%99%E0%B8%84%E0%B8%A7%E0%B8%87%E0%B8%A5%E0%B8%B2%E0%B8%A3%E0%B9%8C%E0%B9%80%E0%B8%A1%E0%B8%AD%E0%B8%A3%E0%B9%8C" title="การหมุนควงลาร์เมอร์ – 泰语" lang="th" hreflang="th" data-title="การหมุนควงลาร์เมอร์" data-language-autonym="ไทย" data-language-local-name="泰语" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9B%D0%B0%D1%80%D0%BC%D0%BE%D1%80%D0%BE%D0%B2%D0%B0_%D1%87%D0%B0%D1%81%D1%82%D0%BE%D1%82%D0%B0" title="Ларморова частота – 乌克兰语" lang="uk" hreflang="uk" data-title="Ларморова частота" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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</div> <div id="siteSub" class="noprint">维基百科，自由的百科全书</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="zh" dir="ltr"><div id="noteTA-5ff6fd68" class="noteTA"><div class="noteTA-group"><div data-noteta-group-source="module" data-noteta-group="Physics"></div></div></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Pr%C3%A4zession2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Pr%C3%A4zession2.png/220px-Pr%C3%A4zession2.png" decoding="async" width="220" height="369" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Pr%C3%A4zession2.png/330px-Pr%C3%A4zession2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/9/93/Pr%C3%A4zession2.png 2x" data-file-width="392" data-file-height="658" /></a><figcaption>拉莫尔进动</figcaption></figure> <p>在<a href="/wiki/%E7%89%A9%E7%90%86%E5%AD%B8" class="mw-redirect" title="物理學">物理學</a>中，<b>拉莫尔进动</b>（英語：<span lang="en"><b>Larmor precession</b></span>，以<a href="/wiki/%E7%BA%A6%E7%91%9F%E5%A4%AB%C2%B7%E6%8B%89%E8%8E%AB%E5%B0%94" title="约瑟夫·拉莫尔">约瑟夫·拉莫尔</a>的名字命名）是指<a href="/wiki/%E7%94%B5%E5%AD%90" title="电子">电子</a>、<a href="/wiki/%E5%8E%9F%E5%AD%90%E6%A0%B8" title="原子核">原子核</a>和<a href="/wiki/%E5%8E%9F%E5%AD%90" title="原子">原子</a>的<a href="/wiki/%E7%A3%81%E7%9F%A9" title="磁矩">磁矩</a>在外部<a href="/wiki/%E7%A3%81%E5%9C%BA" class="mw-redirect" title="磁场">磁场</a>作用下的<a href="/wiki/%E8%BF%9B%E5%8A%A8" class="mw-redirect" title="进动">进动</a>。外部磁场对磁矩施加了一个力矩： </p> <dl><dd><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 {\vec {\Gamma }}={\vec {\mu }}\times {\vec {B}}=\gamma {\vec {J}}\times {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="normal">Γ</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>μ</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>γ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>J</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\Gamma }}={\vec {\mu }}\times {\vec {B}}=\gamma {\vec {J}}\times {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae93c05597c1716601d7949f5ed4265cf140c447" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.311ex; height:3.343ex;" alt="{\displaystyle {\vec {\Gamma }}={\vec {\mu }}\times {\vec {B}}=\gamma {\vec {J}}\times {\vec {B}}}"></span></dd></dl></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 {\vec {\Gamma }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="normal">Γ</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\Gamma }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c170b3c932f505804ca495bd9622a6066fa057f8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.453ex; height:2.843ex;" alt="{\displaystyle {\vec {\Gamma }}}"></span>为<a href="/wiki/%E5%8A%9B%E7%9F%A9" title="力矩">力矩</a>，<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 {\vec {J}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>J</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {J}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f64ab02528d2b80e1df79bc2a8762489a986afa8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.788ex; height:2.843ex;" alt="{\displaystyle {\vec {J}}}"></span>为<a href="/wiki/%E8%A7%92%E5%8A%A8%E9%87%8F" title="角动量">角动量</a>，<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 {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span>为外部磁场，<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 \times }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>×</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \times }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>为<a href="/w/index.php?title=%E7%9F%A2%E9%87%8F%E7%A7%AF&action=edit&redlink=1" class="new" title="矢量积（页面不存在）">矢量积</a>，<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 \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span>为<a href="/wiki/%E6%97%8B%E7%A3%81%E6%AF%94" title="旋磁比">旋磁比</a>，它是磁矩与角动量矢量的比值，角动量<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 {\vec {J}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>J</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {J}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f64ab02528d2b80e1df79bc2a8762489a986afa8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.788ex; height:2.843ex;" alt="{\displaystyle {\vec {J}}}"></span>绕外磁场方向进动，其<a href="/wiki/%E8%A7%92%E9%A2%91%E7%8E%87" title="角频率">角频率</a>称为<b>拉莫尔频率</b>(英語：<span lang="en"><b>Larmor frequency</b></span>)： </p> <dl><dd><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 \omega =\gamma B}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> <mo>=</mo> <mi>γ</mi> <mi>B</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega =\gamma B}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2211c53791a8dbaf27e522da2b632f3cb4836fa3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.571ex; height:2.676ex;" alt="{\displaystyle \omega =\gamma B}"></span></dd></dl></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 \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span>为角频率，B为<a href="/wiki/%E7%A3%81%E6%84%9F%E5%BA%94%E5%BC%BA%E5%BA%A6" title="磁感应强度">磁感应强度</a>。 </p><p>Lev Landau and Evgeny Lifshitz在一篇1935年出版的著名论文中预言了由于拉莫尔进动导致的<a href="/w/index.php?title=%E9%93%81%E7%A3%81%E5%85%B1%E6%8C%AF&action=edit&redlink=1" class="new" title="铁磁共振（页面不存在）">铁磁共振</a>的存在，这在1946年被J. H. E. Griffiths（<a href="/wiki/%E8%8B%B1%E5%9B%BD" title="英国">英国</a>）和E. K. Zavoiskij （<a href="/wiki/%E8%8B%8F%E8%81%94" title="苏联">苏联</a>）各自独立通过实验证实。 </p><p>拉莫尔进动对于<a href="/wiki/%E6%A0%B8%E7%A3%81%E5%85%B1%E6%8C%AF" title="核磁共振">核磁共振</a>至关重要。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Bargmann-Michel-Telegdi_等式"><span id="Bargmann-Michel-Telegdi_.E7.AD.89.E5.BC.8F"></span>Bargmann-Michel-Telegdi 等式</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%8B%89%E8%8E%AB%E7%88%BE%E9%80%B2%E5%8B%95&action=edit&section=1" title="编辑章节：Bargmann-Michel-Telegdi 等式"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>電子在外加磁場中的自旋進動，由Bargmann-Michel-Telegdi（简称BMT）等式<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>描述。 </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 {\frac {da^{\tau }}{ds}}={\frac {e}{m}}u^{\tau }u_{\sigma }F^{\sigma \lambda }a_{\lambda }+2\mu (F^{\tau \lambda }-u^{\tau }u_{\sigma }F^{\sigma \lambda })a_{\lambda },}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> </mrow> <mrow> <mi>d</mi> <mi>s</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>e</mi> <mi>m</mi> </mfrac> </mrow> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>σ</mi> </mrow> </msub> <msup> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>σ</mi> <mi>λ</mi> </mrow> </msup> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </msub> <mo>+</mo> <mn>2</mn> <mi>μ</mi> <mo stretchy="false">(</mo> <msup> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> <mi>λ</mi> </mrow> </msup> <mo>−</mo> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>σ</mi> </mrow> </msub> <msup> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>σ</mi> <mi>λ</mi> </mrow> </msup> <mo stretchy="false">)</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </msub> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {da^{\tau }}{ds}}={\frac {e}{m}}u^{\tau }u_{\sigma }F^{\sigma \lambda }a_{\lambda }+2\mu (F^{\tau \lambda }-u^{\tau }u_{\sigma }F^{\sigma \lambda })a_{\lambda },}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/586dd21770c2b937f6b18200914df88d75f78127" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:47.455ex; height:5.509ex;" alt="{\displaystyle {\frac {da^{\tau }}{ds}}={\frac {e}{m}}u^{\tau }u_{\sigma }F^{\sigma \lambda }a_{\lambda }+2\mu (F^{\tau \lambda }-u^{\tau }u_{\sigma }F^{\sigma \lambda })a_{\lambda },}"></span></dd></dl> <p>這裡的<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 a^{\tau }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{\tau }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae50d66cbdf50a7e020a2e011e7ae81bb17154d7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.312ex; height:2.343ex;" alt="{\displaystyle a^{\tau }}"></span>, <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 e}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle e}"></span>, <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 m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span>和<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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span>分別是極性四向量、電荷、質量和磁矩，<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 u^{\tau }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u^{\tau }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a99b7cbe3b66baffbe2de444ba498bf5578ef4f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.412ex; height:2.343ex;" alt="{\displaystyle u^{\tau }}"></span>是电子的<a href="/wiki/%E5%9B%9B%E7%BB%B4%E9%80%9F%E5%BA%A6" title="四维速度">四维速度</a>，<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 a^{\tau }a_{\tau }=-u^{\tau }u_{\tau }=-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{\tau }a_{\tau }=-u^{\tau }u_{\tau }=-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f84e349a5501940f9dbc699f6ce643cd20f01553" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.423ex; height:2.676ex;" alt="{\displaystyle a^{\tau }a_{\tau }=-u^{\tau }u_{\tau }=-1}"></span>, <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 u^{\tau }a_{\tau }=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u^{\tau }a_{\tau }=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aaa7367b2792e04887b1719b923ac31d0af27a52" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.985ex; height:2.676ex;" alt="{\displaystyle u^{\tau }a_{\tau }=0}"></span>, and <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 F^{\tau \sigma }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> <mi>σ</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F^{\tau \sigma }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8bddf99cb8056100bc533783261121aabb792ea8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.837ex; height:2.343ex;" alt="{\displaystyle F^{\tau \sigma }}"></span>电磁场的强度。利用运动方程， </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 m{\frac {du^{\tau }}{ds}}=eF^{\tau \sigma }u_{\sigma },}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> </mrow> <mrow> <mi>d</mi> <mi>s</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>e</mi> <msup> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> <mi>σ</mi> </mrow> </msup> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>σ</mi> </mrow> </msub> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m{\frac {du^{\tau }}{ds}}=eF^{\tau \sigma }u_{\sigma },}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f578c0657af77a284fb7a6ab7a394b21bfb94922" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:17.672ex; height:5.509ex;" alt="{\displaystyle m{\frac {du^{\tau }}{ds}}=eF^{\tau \sigma }u_{\sigma },}"></span></dd></dl> <p>可以把BMT方程右边的第一项改写为 <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 (-u^{\tau }w^{\lambda }+u^{\lambda }w^{\tau })a_{\lambda }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>−</mo> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <msup> <mi>w</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </msup> <msup> <mi>w</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <mo stretchy="false">)</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (-u^{\tau }w^{\lambda }+u^{\lambda }w^{\tau })a_{\lambda }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb0f66e138c1ba67202782239b9ac3e2cbf6c6c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.411ex; height:3.176ex;" alt="{\displaystyle (-u^{\tau }w^{\lambda }+u^{\lambda }w^{\tau })a_{\lambda }}"></span>，这里<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 w^{\tau }=du^{\tau }/ds}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>w</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <mo>=</mo> <mi>d</mi> <msup> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>τ</mi> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mi>s</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle w^{\tau }=du^{\tau }/ds}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e71b4ea6c8e750e61ee06a32b294bb8798ac8814" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.941ex; height:2.843ex;" alt="{\displaystyle w^{\tau }=du^{\tau }/ds}"></span>是<a href="/wiki/%E5%9B%9B%E7%BB%B4%E9%80%9F%E5%BA%A6" title="四维速度">四维加速度</a>。这一项描述了Fermi-Walker transport，并导致了<a href="/wiki/%E6%B9%AF%E7%91%AA%E6%96%AF%E9%80%B2%E5%8B%95" title="湯瑪斯進動">湯瑪斯進動</a>（<span lang="en">Thomas precession</span>），第二项则与拉莫尔进动相关联。 </p> <div class="mw-heading mw-heading2"><h2 id="相关条目"><span id=".E7.9B.B8.E5.85.B3.E6.9D.A1.E7.9B.AE"></span>相关条目</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%8B%89%E8%8E%AB%E7%88%BE%E9%80%B2%E5%8B%95&action=edit&section=2" title="编辑章节：相关条目"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E8%87%AA%E6%97%8B" title="自旋">自旋</a></li> <li><a href="/wiki/%E6%8B%89%E6%AF%94%E5%91%A8%E6%9C%9F" title="拉比周期">拉比周期</a></li> <li><span class="ilh-all" data-orig-title="Rabi frequency" data-lang-code="en" data-lang-name="英语" data-foreign-title="Rabi frequency"><span class="ilh-page"><a href="/w/index.php?title=Rabi_frequency&action=edit&redlink=1" class="new" title="Rabi frequency（页面不存在）">拉比频率</a></span><span class="noprint ilh-comment"><span class="ilh-paren">（</span><span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Rabi_frequency" class="extiw" title="en:Rabi frequency"><span lang="en" dir="auto">Rabi frequency</span></a></span><span class="ilh-paren">）</span></span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="外部連結"><span id=".E5.A4.96.E9.83.A8.E9.80.A3.E7.B5.90"></span>外部連結</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%8B%89%E8%8E%AB%E7%88%BE%E9%80%B2%E5%8B%95&action=edit&section=3" title="编辑章节：外部連結"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/larmor.html">Hyperphysics: Larmor frequency</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20210126211931/http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/larmor.html">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li></ul> <div class="mw-heading mw-heading2"><h2 id="參考資料"><span id=".E5.8F.83.E8.80.83.E8.B3.87.E6.96.99"></span>參考資料</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%8B%89%E8%8E%AB%E7%88%BE%E9%80%B2%E5%8B%95&action=edit&section=4" title="编辑章节：參考資料"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/larmor.html">Georgia State University HyperPhysics page on Larmor Frequency</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20210126211931/http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/larmor.html">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li> <li><a rel="nofollow" class="external text" href="http://bio.groups.et.byu.net/LarmourFreqCal.phtml">Larmor Frequency Calculator</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20110723034110/http://bio.groups.et.byu.net/LarmourFreqCal.phtml">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li> <li><a rel="nofollow" class="external text" href="https://radiopaedia.org/articles/larmor-frequency">Larmor frequency -Radiopaedia-</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20201116035532/https://radiopaedia.org/articles/larmor-frequency">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li></ul> <div class="mw-heading mw-heading2"><h2 id="註釋"><span id=".E8.A8.BB.E9.87.8B"></span>註釋</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%8B%89%E8%8E%AB%E7%88%BE%E9%80%B2%E5%8B%95&action=edit&section=5" title="编辑章节：註釋"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">V. Bargmann, L. Michel, and V. L. Telegdi, <i>Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field</i>, Phys. Rev. Lett. 2, 435 (1959).</span> </li> </ol></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">检索自“<a dir="ltr" href="https://zh.wikipedia.org/w/index.php?title=拉莫爾進動&oldid=76790706">https://zh.wikipedia.org/w/index.php?title=拉莫爾進動&oldid=76790706</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:%E9%A1%B5%E9%9D%A2%E5%88%86%E7%B1%BB" title="Special:页面分类">分类</a>：<ul><li><a href="/wiki/Category:%E9%80%B2%E5%8B%95" title="Category:進動">進動</a></li><li><a href="/wiki/Category:%E5%8E%9F%E5%AD%90%E7%89%A9%E7%90%86%E5%AD%A6" title="Category:原子物理学">原子物理学</a></li><li><a href="/wiki/Category:%E7%94%B5%E7%A3%81%E5%AD%A6" title="Category:电磁学">电磁学</a></li></ul></div><div id="mw-hidden-catlinks" 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