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Display information for equation id:math.2545.3 on revision:2545

* Page found: Ununterscheidbarkeit quantenmechanischer Teilchen (eq math.2545.3)

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TeX (original user input):

\begin{align}

& {{{\hat{P}}}_{ij}}\Psi \left( {{{\bar{x}}}_{1}},{{{\bar{x}}}_{2}},...,{{{\bar{x}}}_{i}},...,{{{\bar{x}}}_{j}},.... \right):=\Psi \left( {{{\bar{x}}}_{1}},{{{\bar{x}}}_{2}},...,{{{\bar{x}}}_{j}},...,{{{\bar{x}}}_{i}},.... \right)={{e}^{i\nu }}\Psi \left( {{{\bar{x}}}_{1}},{{{\bar{x}}}_{2}},...,{{{\bar{x}}}_{i}},...,{{{\bar{x}}}_{j}},.... \right) \\

& {{{\hat{P}}}_{ij}}^{2}=\bar{\bar{1}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\hat {P}}_{ij}}\Psi \left({{\bar {x}}_{1}},{{\bar {x}}_{2}},...,{{\bar {x}}_{i}},...,{{\bar {x}}_{j}},....\right):=\Psi \left({{\bar {x}}_{1}},{{\bar {x}}_{2}},...,{{\bar {x}}_{j}},...,{{\bar {x}}_{i}},....\right)={{e}^{i\nu }}\Psi \left({{\bar {x}}_{1}},{{\bar {x}}_{2}},...,{{\bar {x}}_{i}},...,{{\bar {x}}_{j}},....\right)\\&{{\hat {P}}_{ij}}^{2}={\bar {\bar {1}}}\\\end{aligned}}

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P̂ijΨ(x¯1,x¯2,...,x¯i,...,x¯j,....):=Ψ(x¯1,x¯2,...,x¯j,...,x¯i,....)=eiνΨ(x¯1,x¯2,...,x¯i,...,x¯j,....)P̂ij2=1¯¯
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>P</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><mi>....</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mi>....</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ν</mi></mrow></mrow></msup><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><mi>....</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><msub><mover><mi>P</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mover><mover><mn>1</mn><mo>¯</mo></mover><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Ununterscheidbarkeit quantenmechanischer Teilchen page

Identifiers

  • P̂ij
  • Ψ
  • x¯1
  • x¯2
  • x¯i
  • x¯j
  • Ψ
  • x¯1
  • x¯2
  • x¯j
  • x¯i
  • e
  • i
  • ν
  • Ψ
  • x¯1
  • x¯2
  • x¯i
  • x¯j
  • P̂ij
  • 1¯¯

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