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Display information for equation id:math.2404.54 on revision:2404

* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2404.54)

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Hash: 073f23a54de0c1d08bece0e6e241b547

TeX (original user input):

I\left( \rho  \right)=\sum\limits_{\alpha }^{{}}{{}}{{P}_{\alpha }}\ln {{P}_{\alpha }}=tr(\hat{\rho }\ln \hat{\rho })

TeX (checked):

I\left(\rho \right)=\sum \limits _{\alpha }^{}{}{{P}_{\alpha }}\ln {{P}_{\alpha }}=tr({\hat {\rho }}\ln {\hat {\rho }})

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MathML (1005 B / 328 B) :

I(ρ)=αPαlnPα=tr(ρ^lnρ^)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C1;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mi>ln</mi><mo>&#x2061;</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mo>=</mo><mi>t</mi><mi>r</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C1;</mi><mo>^</mo></mover></mrow></mrow><mi>ln</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C1;</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>

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Identifiers

  • I
  • ρ
  • α
  • Pα
  • Pα
  • t
  • r
  • ρ^
  • ρ^

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