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Display information for equation id:math.2402.25 on revision:2402

* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2402.25)

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Hash: b10ffcaaa3099440b6c1576425f1ed68

TeX (original user input):

\left\langle {\hat{M}} \right\rangle =\left\langle  \Psi  \right|\hat{M}\left| \Psi  \right\rangle =\sum\limits_{\alpha }^{{}}{{}}\left\langle  \Psi  \right|\hat{M}\left| \alpha  \right\rangle \left\langle  \alpha  \right|\left| \Psi  \right\rangle =\sum\limits_{\alpha ,\alpha \acute{\ }}^{{}}{{}}\left\langle  \Psi  \right|\left| \alpha \acute{\ } \right\rangle \left\langle  \alpha  \right|\left| \Psi  \right\rangle \left\langle  \alpha \acute{\ } \right|\hat{M}\left| \alpha  \right\rangle

TeX (checked):

\left\langle {\hat {M}}\right\rangle =\left\langle \Psi \right|{\hat {M}}\left|\Psi \right\rangle =\sum \limits _{\alpha }^{}{}\left\langle \Psi \right|{\hat {M}}\left|\alpha \right\rangle \left\langle \alpha \right|\left|\Psi \right\rangle =\sum \limits _{\alpha ,\alpha {\acute {\ }}}^{}{}\left\langle \Psi \right|\left|\alpha {\acute {\ }}\right\rangle \left\langle \alpha \right|\left|\Psi \right\rangle \left\langle \alpha {\acute {\ }}\right|{\hat {M}}\left|\alpha \right\rangle

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MathML (2.65 KB / 404 B) :

M̂=Ψ|M̂|Ψ=αΨ|M̂|αα||Ψ=α,α ´Ψ||α ´α||Ψα ´|M̂|α
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo>,</mo><mi>α</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>α</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mo data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>

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  •  ´
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  • M̂
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