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Display information for equation id:math.2362.24 on revision:2362

* Page found: Prüfungsfragen:Statistische Physik (eq math.2362.24)

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Prüfungsfragen:Statistische Physik Eq: math.2362.24

Hash: 14916a9922341386bc7d9121e636990b

TeX (original user input):

\begin{align}
Z_k(N,V,T) &= \sum_i\mathrm{e}^{-\beta E_i}.\\
Z_{gk}(\mu, V, T) &= \sum_i\mathrm{e}^{-\beta( E_i - \mu N_i)}\\
Z_\mathrm{m}(U,N,V) &= \sum_{ E_{\psi} (N,V) \le U } 1\\
Z_\mathrm{m}(U,N,V) &= \int\limits_{ H(p,q,N,V) \le U} \!\!\!\frac{d^{3N}p\; d^{3N} q}{h^{3N} N!}
\end{align}

TeX (checked):

{\begin{aligned}Z_{k}(N,V,T)&=\sum _{i}\mathrm {e} ^{-\beta E_{i}}.\\Z_{gk}(\mu ,V,T)&=\sum _{i}\mathrm {e} ^{-\beta (E_{i}-\mu N_{i})}\\Z_{\mathrm {m} }(U,N,V)&=\sum _{E_{\psi }(N,V)\leq U}1\\Z_{\mathrm {m} }(U,N,V)&=\int \limits _{H(p,q,N,V)\leq U}\!\!\!{\frac {d^{3N}p\;d^{3N}q}{h^{3N}N!}}\end{aligned}}

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\begin{aligned} Z_{k} (N, V, T) & = \sum_{i} e^{- β E_{i}} . \\ Z_{g k} (μ, V, T) & = \sum_{i} e^{- β (E_{i} - μ N_{i})} \\ Z_{m} (U, N, V) & = \sum_{E_{ψ} (N, V) \leq U} 1 \\ Z_{m} (U, N, V) & = \int_{H (p, q, N, V) \leq U} \frac{d^{3 N} p d^{3 N} q}{h^{3 N} N!} \end{aligned}

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In Mathematica:

Identifiers

$Z_{k}$

$N$

$V$

$T$

$i$

$e$

$β$

$E_{i}$

$Z_{g k}$

$μ$

$V$

$T$

$i$

$e$

$β$

$E_{i}$

$μ$

$N_{i}$

$Z_{m}$

$U$

$N$

$V$

$E_{ψ}$

$N$

$V$

$U$

$Z_{m}$

$U$

$N$

$V$

$H$

$p$

$q$

$N$

$V$

$U$

$N$

$p$

$d$

$N$

$q$

$h$

$N$

$N$

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