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Display information for equation id:math.2553.3 on revision:2553
* Page found: Das ideale Fermigas (eq math.2553.3)
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Hash: 74bc499b94ec0090ee5ed8a5c1fa0da1
TeX (original user input):
{{P}_{\alpha }}=\left\langle \alpha \right|\hat{\rho }\left| \alpha \right\rangle ={{Y}^{-1}}\left\langle \alpha \right|\exp \left( -\beta \left( \hat{H}-\mu \hat{N} \right) \right)\left| \alpha \right\rangle ={{Y}^{-1}}\exp \left( -\beta \sum\limits_{j=1}^{l}{{}}\left( {{N}_{j}}{{E}_{j}}-\mu {{N}_{j}} \right) \right)
TeX (checked):
{{P}_{\alpha }}=\left\langle \alpha \right|{\hat {\rho }}\left|\alpha \right\rangle ={{Y}^{-1}}\left\langle \alpha \right|\exp \left(-\beta \left({\hat {H}}-\mu {\hat {N}}\right)\right)\left|\alpha \right\rangle ={{Y}^{-1}}\exp \left(-\beta \sum \limits _{j=1}^{l}{}\left({{N}_{j}}{{E}_{j}}-\mu {{N}_{j}}\right)\right)
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MathML (2.341 KB / 459 B) :
<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"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>ρ</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><mo stretchy="false">=</mo><msup><mi>Y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mi>β</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">−</mo><mi>μ</mi><mover><mi>N</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><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><mo stretchy="false">=</mo><msup><mi>Y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mi>β</mi><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">−</mo><mi>μ</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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