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Display information for equation id:math.2402.62 on revision:2402
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2402.62)
(force rerendering)Occurrences on the following pages:
Hash: 62069be8e7277b1d412e531f3b9d3fc3
TeX (original user input):
\begin{align}
& \hat{\rho }=\exp \left( \Psi -{{\lambda }_{n}}{{{\hat{M}}}^{n}} \right) \\
& \Psi =-\ln tr\left( \exp \left( -{{\lambda }_{n}}{{{\hat{M}}}^{n}} \right) \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\hat {\rho }}=\exp \left(\Psi -{{\lambda }_{n}}{{\hat {M}}^{n}}\right)\\&\Psi =-\ln tr\left(\exp \left(-{{\lambda }_{n}}{{\hat {M}}^{n}}\right)\right)\\\end{aligned}}
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MathML (1.461 KB / 372 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"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>Ψ</mi><mo stretchy="false">−</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msup><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>Ψ</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>ln</mi><mo>⁡</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msup><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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