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Display information for equation id:math.2545.9 on revision:2545
* Page found: Ununterscheidbarkeit quantenmechanischer Teilchen (eq math.2545.9)
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Hash: 5727d8585fe7dcc0371bbea8dac70f79
TeX (original user input):
\begin{align}
& {{\left| {{{\hat{P}}}_{ij}}\Psi \left( {{{\bar{x}}}_{1}},{{{\bar{x}}}_{2}} \right) \right|}^{2}}={{\left| \Psi \left( {{{\bar{x}}}_{2}},{{{\bar{x}}}_{1}} \right) \right|}^{2}}={{\left| \Psi \left( {{{\bar{x}}}_{1}},{{{\bar{x}}}_{2}} \right) \right|}^{2}}\Rightarrow {{\left| {{\lambda }_{ij}} \right|}^{2}}=1 \\
& \Rightarrow {{\lambda }_{ij}}=\pm 1 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left|{{\hat {P}}_{ij}}\Psi \left({{\bar {x}}_{1}},{{\bar {x}}_{2}}\right)\right|}^{2}}={{\left|\Psi \left({{\bar {x}}_{2}},{{\bar {x}}_{1}}\right)\right|}^{2}}={{\left|\Psi \left({{\bar {x}}_{1}},{{\bar {x}}_{2}}\right)\right|}^{2}}\Rightarrow {{\left|{{\lambda }_{ij}}\right|}^{2}}=1\\&\Rightarrow {{\lambda }_{ij}}=\pm 1\\\end{aligned}}
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MathML (2.67 KB / 415 B) :
<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"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><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 data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</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>2</mn></mrow></msub><mo>,</mo><msub><mover><mi>x</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</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 data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">⇒</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">±</mo><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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