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Display information for equation id:math.971.52 on revision:971

* Page found: Übersicht:Thermodynamik (eq math.971.52)

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Occurrences on the following pages:

Hash: d810b16b83c4664d0277be5cdf4a6a60

TeX (original user input):

\left\langle {{{\hat{M}}}_{\alpha }} \right\rangle =\left\langle \psi \left| {{M}_{\alpha }} \right|\psi  \right\rangle =\operatorname{Tr}\left( \hat{\rho }\hat{M} \right)

TeX (checked):

\left\langle {{\hat {M}}_{\alpha }}\right\rangle =\left\langle \psi \left|{{M}_{\alpha }}\right|\psi \right\rangle =\operatorname {Tr} \left({\hat {\rho }}{\hat {M}}\right)

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

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MathML (experimental; no images) rendering

MathML (1.214 KB / 322 B) :

M^α=ψ|Mα|ψ=Tr(ρ^M^)
<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="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>M</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>&#x03C8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>&#x03C8;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C1;</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>M</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Übersicht:Thermodynamik page

Identifiers

  • M^α
  • ψ
  • Mα
  • ψ
  • ρ^
  • M^

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