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Display information for equation id:math.971.54 on revision:971
* Page found: Übersicht:Thermodynamik (eq math.971.54)
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Hash: f9b2f40e51b8746c5ed8aedf1df4261e
TeX (original user input):
\left\langle {{{\hat{M}}}_{\alpha }} \right\rangle =\sum{{{P}_{i}}\left\langle \psi \left| {{M}_{\alpha }} \right|\psi \right\rangle }=\operatorname{Tr}\left( \hat{\rho }{{{\hat{M}}}_{\alpha }} \right)
TeX (checked):
\left\langle {{\hat {M}}_{\alpha }}\right\rangle =\sum {{{P}_{i}}\left\langle \psi \left|{{M}_{\alpha }}\right|\psi \right\rangle }=\operatorname {Tr} \left({\hat {\rho }}{{\hat {M}}_{\alpha }}\right)
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MathML (1.414 KB / 351 B) :
<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">⟨</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>α</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mo texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow><mo>=</mo><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><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>α</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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