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Display information for equation id:math.2547.3 on revision:2547

* Page found: Das ideale Fermigas (eq math.2547.3)

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Hash: 74bc499b94ec0090ee5ed8a5c1fa0da1

TeX (original user input): 

{{P}_{\alpha }}=\left\langle  \alpha  \right|\hat{\rho }\left| \alpha  \right\rangle ={{Y}^{-1}}\left\langle  \alpha  \right|\exp \left( -\beta \left( \hat{H}-\mu \hat{N} \right) \right)\left| \alpha  \right\rangle ={{Y}^{-1}}\exp \left( -\beta \sum\limits_{j=1}^{l}{{}}\left( {{N}_{j}}{{E}_{j}}-\mu {{N}_{j}} \right) \right)

TeX (checked): 

{{P}_{\alpha }}=\left\langle \alpha \right|{\hat {\rho }}\left|\alpha \right\rangle ={{Y}^{-1}}\left\langle \alpha \right|\exp \left(-\beta \left({\hat {H}}-\mu {\hat {N}}\right)\right)\left|\alpha \right\rangle ={{Y}^{-1}}\exp \left(-\beta \sum \limits _{j=1}^{l}{}\left({{N}_{j}}{{E}_{j}}-\mu {{N}_{j}}\right)\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (18.77 KB / 2.478 KB) :

P α = ⟨ α | ρ ^ | α ⟩ = Y - 1 ⁢ ⟨ α | exp ⁡ ( - β ⁢ ( H ^ - μ ⁢ N ^ ) ) | α ⟩ = Y - 1 ⁢ exp ⁡ ( - β ⁢ ∑ j = 1 l ( N j ⁢ E j - μ ⁢ N j ) ) subscript 𝑃 𝛼 quantum-operator-product 𝛼 ^ 𝜌 𝛼 superscript 𝑌 1 quantum-operator-product 𝛼 𝛽 ^ 𝐻 𝜇 ^ 𝑁 𝛼 superscript 𝑌 1 𝛽 superscript subscript 𝑗 1 𝑙 subscript 𝑁 𝑗 subscript 𝐸 𝑗 𝜇 subscript 𝑁 𝑗 {\displaystyle{\displaystyle{{P}_{\alpha}}=\left\langle\alpha\right|\hat{\rho}% \left|\alpha\right\rangle={{Y}^{-1}}\left\langle\alpha\right|\exp\left(-\beta% \left(\hat{H}-\mu\hat{N}\right)\right)\left|\alpha\right\rangle={{Y}^{-1}}\exp% \left(-\beta\sum\limits_{j=1}^{l}{{}}\left({{N}_{j}}{{E}_{j}}-\mu{{N}_{j}}% \right)\right)}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.403 KB / 428 B) :

Pα=⟨α|ρ^|α⟩=Y−1⟨α|exp⁡(−β(H^−μN^))|α⟩=Y−1exp⁡(−β∑j=1l(NjEj−μNj))

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Translation to Mathematica

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Similar pages

Calculated based on the variables occurring on the entire Das ideale Fermigas page

Identifiers

  • Pα
  • α
  • ρ^
  • α
  • Y
  • α
  • β
  • H^
  • μ
  • N^
  • α
  • Y
  • β
  • j
  • l
  • Nj
  • Ej
  • μ
  • Nj

MathML observations

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“