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Display information for equation id:math.1720.75 on revision:1720

* Page found: Identische Teilchen: Spin und Statistik (eq math.1720.75)

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Identische Teilchen: Spin und Statistik Eq: math.1720.75

Hash: 23d9bdafcc0c6faf1b378b329c716245

TeX (original user input):

{{\left| {{a}_{1}},...,{{a}_{N}} \right\rangle }_{a}}=\hat{A}\left( {{\left| {{a}_{1}} \right\rangle }_{1}}{{\left| {{a}_{2}} \right\rangle }_{2}}...{{\left| {{a}_{N}} \right\rangle }_{N}} \right)=\frac{1}{N!}\left| \begin{matrix}
{{\left| {{a}_{1}} \right\rangle }_{1}} & {{\left| {{a}_{1}} \right\rangle }_{2}} & ... & {{\left| {{a}_{1}} \right\rangle }_{N}}  \\
{{\left| {{a}_{2}} \right\rangle }_{1}} & {{\left| {{a}_{2}} \right\rangle }_{2}} & ... & {{\left| {{a}_{2}} \right\rangle }_{N}}  \\.
.. & ... & ... & ...  \\
{{\left| {{a}_{N}} \right\rangle }_{1}} & {{\left| {{a}_{N}} \right\rangle }_{2}} & ... & {{\left| {{a}_{N}} \right\rangle }_{N}}  \\
\end{matrix} \right|

TeX (checked):

{{\left|{{a}_{1}},...,{{a}_{N}}\right\rangle }_{a}}={\hat {A}}\left({{\left|{{a}_{1}}\right\rangle }_{1}}{{\left|{{a}_{2}}\right\rangle }_{2}}...{{\left|{{a}_{N}}\right\rangle }_{N}}\right)={\frac {1}{N!}}\left|{\begin{matrix}{{\left|{{a}_{1}}\right\rangle }_{1}}&{{\left|{{a}_{1}}\right\rangle }_{2}}&...&{{\left|{{a}_{1}}\right\rangle }_{N}}\\{{\left|{{a}_{2}}\right\rangle }_{1}}&{{\left|{{a}_{2}}\right\rangle }_{2}}&...&{{\left|{{a}_{2}}\right\rangle }_{N}}\\...&...&...&...\\{{\left|{{a}_{N}}\right\rangle }_{1}}&{{\left|{{a}_{N}}\right\rangle }_{2}}&...&{{\left|{{a}_{N}}\right\rangle }_{N}}\\\end{matrix}}\right|

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MathML (4.509 KB / 453 B) :

{| a_{1}, . . ., a_{N} ⟩}_{a} = \hat{A} ({| a_{1} ⟩}_{1} {| a_{2} ⟩}_{2} . . . {| a_{N} ⟩}_{N}) = \frac{1}{N!} | \begin{matrix} {| a_{1} ⟩}_{1} & {| a_{1} ⟩}_{2} & . . . & {| a_{1} ⟩}_{N} \\ {| a_{2} ⟩}_{1} & {| a_{2} ⟩}_{2} & . . . & {| a_{2} ⟩}_{N} \\ . . . & . . . & . . . & . . . \\ {| a_{N} ⟩}_{1} & {| a_{N} ⟩}_{2} & . . . & {| a_{N} ⟩}_{N} \end{matrix} |

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Translations to Computer Algebra Systems

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Translation to Mathematica

In Mathematica:

Identifiers

$a_{1}$

$a_{N}$

$a$

$\hat{A}$

$a_{1} 1$

$a_{2} 2$

$a_{N} N$

$N$

$a_{1} 1$

$a_{1} 2$

$a_{1} N$

$a_{2} 1$

$a_{2} 2$

$a_{2} N$

$a_{N} 1$

$a_{N} 2$

$a_{N} N$

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LaTeXML (experimentell; verwendet MathML) rendering

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