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Display information for equation id:math.1598.29 on revision:1598
* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1598.29)
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Hash: eb76d646950ce009bbbfa6d9e034b417
TeX (original user input):
\Delta H:=\sqrt{\left\langle {{\left( \hat{H}-\left\langle {\hat{H}} \right\rangle \right)}^{2}} \right\rangle }=\sqrt{\left\langle \left\langle {{\left( {\hat{H}} \right)}^{2}} \right\rangle -{{\left\langle {\hat{H}} \right\rangle }^{2}} \right\rangle }=\sqrt{{{E}^{2}}-{{E}^{2}}}=0
TeX (checked):
\Delta H:={\sqrt {\left\langle {{\left({\hat {H}}-\left\langle {\hat {H}}\right\rangle \right)}^{2}}\right\rangle }}={\sqrt {\left\langle \left\langle {{\left({\hat {H}}\right)}^{2}}\right\rangle -{{\left\langle {\hat {H}}\right\rangle }^{2}}\right\rangle }}={\sqrt {{{E}^{2}}-{{E}^{2}}}}=0
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MathML (2.069 KB / 343 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">Δ</mi><mi>H</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><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><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><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 data-mjx-texclass="CLOSE">⟩</mo></mrow></msqrt></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><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><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><msup><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><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></msqrt></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>
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