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Display information for equation id:math.1719.79 on revision:1719

* Page found: Identische Teilchen: Spin und Statistik (eq math.1719.79)

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Hash: 7bd88dee53e7e71b3df7997364cf4a3f

TeX (original user input): 

\left\langle  {{{\bar{r}}}_{1}}...{{{\hat{r}}}_{N}} \right|{{\left| {{a}_{1}},...,{{a}_{N}} \right\rangle }_{a}}^{-}={{\Psi }^{-}}\left( {{{\bar{r}}}_{1}},...,{{{\bar{r}}}_{N}} \right)=\frac{1}{\sqrt{N!}}\left| \begin{matrix}
{{\Psi }_{{{a}_{1}}}}\left( {{{\bar{r}}}_{1}} \right) & {{\Psi }_{{{a}_{1}}}}\left( {{{\bar{r}}}_{2}} \right) & ... & {{\Psi }_{{{a}_{1}}}}\left( {{{\bar{r}}}_{N}} \right)  \\
{{\Psi }_{{{a}_{2}}}}\left( {{{\bar{r}}}_{1}} \right) & {{\Psi }_{{{a}_{2}}}}\left( {{{\bar{r}}}_{2}} \right) & ... & {{\Psi }_{{{a}_{2}}}}\left( {{{\bar{r}}}_{N}} \right)  \\
... & ... & ... & ...  \\
{{\Psi }_{{{a}_{N}}}}\left( {{{\bar{r}}}_{1}} \right) & {{\Psi }_{{{a}_{N}}}}\left( {{{\bar{r}}}_{2}} \right) & ... & {{\Psi }_{{{a}_{N}}}}\left( {{{\bar{r}}}_{N}} \right)  \\
\end{matrix} \right|

TeX (checked): 

\left\langle {{\bar {r}}_{1}}...{{\hat {r}}_{N}}\right|{{\left|{{a}_{1}},...,{{a}_{N}}\right\rangle }_{a}}^{-}={{\Psi }^{-}}\left({{\bar {r}}_{1}},...,{{\bar {r}}_{N}}\right)={\frac {1}{\sqrt {N!}}}\left|{\begin{matrix}{{\Psi }_{{a}_{1}}}\left({{\bar {r}}_{1}}\right)&{{\Psi }_{{a}_{1}}}\left({{\bar {r}}_{2}}\right)&...&{{\Psi }_{{a}_{1}}}\left({{\bar {r}}_{N}}\right)\\{{\Psi }_{{a}_{2}}}\left({{\bar {r}}_{1}}\right)&{{\Psi }_{{a}_{2}}}\left({{\bar {r}}_{2}}\right)&...&{{\Psi }_{{a}_{2}}}\left({{\bar {r}}_{N}}\right)\\...&...&...&...\\{{\Psi }_{{a}_{N}}}\left({{\bar {r}}_{1}}\right)&{{\Psi }_{{a}_{N}}}\left({{\bar {r}}_{2}}\right)&...&{{\Psi }_{{a}_{N}}}\left({{\bar {r}}_{N}}\right)\\\end{matrix}}\right|

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⟨r¯1...r^N||a1,...,aN⟩a−=Ψ−(r¯1,...,r¯N)=1N!|Ψa1(r¯1)Ψa1(r¯2)...Ψa1(r¯N)Ψa2(r¯1)Ψa2(r¯2)...Ψa2(r¯N)............ΨaN(r¯1)ΨaN(r¯2)...ΨaN(r¯N)|
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Calculated based on the variables occurring on the entire Identische Teilchen: Spin und Statistik page

Identifiers

  • r¯1
  • r^N
  • a1
  • aN
  • a
  • Ψ
  • r¯1
  • r¯N
  • N
  • Ψa1
  • r¯1
  • Ψa1
  • r¯2
  • Ψa1
  • r¯N
  • Ψa2
  • r¯1
  • Ψa2
  • r¯2
  • Ψa2
  • r¯N
  • ΨaN
  • r¯1
  • ΨaN
  • r¯2
  • ΨaN
  • r¯N

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