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Display information for equation id:math.2431.23 on revision:2431
* Page found: Entropie von Gleichgewichtszuständen (eq math.2431.23)
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\begin{align}
& \hat{\rho }=\exp \left( \Psi -\beta H-{{\lambda }_{2}}V \right) \\
& dS=k\beta dU+k{{\lambda }_{2}}dV \\
& k\beta =\frac{1}{T} \\
& {{\lambda }_{2}}=\frac{p}{kT} \\
\end{align}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">Ψ</mi><mo>−</mo><mi>β</mi><mi>H</mi><mo>−</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>S</mi><mo>=</mo><mi>k</mi><mi>β</mi><mi>d</mi><mi>U</mi><mo>+</mo><mi>k</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>d</mi><mi>V</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>k</mi><mi>β</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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