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Display information for equation id:math.969.52 on revision:969

* Page found: Übersicht:Thermodynamik (eq math.969.52)

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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 (experimentell; verwendet MathML) rendering

MathML (5.894 KB / 1.105 KB) :

⟨ M ^ α ⟩ = ⟨ ψ | M α | ψ ⟩ = Tr ⁡ ( ρ ^ ⁢ M ^ ) delimited-⟨⟩ subscript ^ 𝑀 𝛼 quantum-operator-product 𝜓 subscript 𝑀 𝛼 𝜓 Tr ^ 𝜌 ^ 𝑀 {\displaystyle{\displaystyle\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)}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.214 KB / 322 B) :

⟨M^α⟩=⟨ψ|Mα|ψ⟩=Tr⁡(ρ^M^)

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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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