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Display information for equation id:math.1596.21 on revision:1596
* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1596.21)
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Hash: 984bd81170fe64b649490ead47b1274c
TeX (original user input):
\int\limits_{{{R}^{3}}}^{{}}{{}}\left\{ \Psi *\hat{H}\Psi -\left( \hat{H}\Psi \right)*\Psi \right\}{{d}^{3}}r=-i\hbar \int_{{{R}^{3}}}^{{}}{{}}\nabla \cdot \bar{j}{{d}^{3}}r=-i\hbar \int_{\partial {{R}^{3}}}^{{}}{{}}\bar{j}\cdot d\bar{f}
TeX (checked):
\int \limits _{{R}^{3}}^{}{}\left\{\Psi *{\hat {H}}\Psi -\left({\hat {H}}\Psi \right)*\Psi \right\}{{d}^{3}}r=-i\hbar \int _{{R}^{3}}^{}{}\nabla \cdot {\bar {j}}{{d}^{3}}r=-i\hbar \int _{\partial {{R}^{3}}}^{}{}{\bar {j}}\cdot d{\bar {f}}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi mathvariant="normal">Ψ</mi><mo>*</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mi mathvariant="normal">Ψ</mi><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>*</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><mo>−</mo><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mi mathvariant="normal">∇</mi><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><mo>−</mo><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo>⋅</mo><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>f</mi><mo>¯</mo></mover></mrow></mrow></mstyle></mrow></math>
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