General Display information for equation id:math.1622.3 on revision:1622
* Page found: Operatoren im Hilbertraum (eq math.1622.3)
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\int _{{}}^{{}}{{{ d}^{ 3}} r} \left | { \bar { r}} \right\rangle \left ( \frac { \hbar }{ i} \nabla \right )\left\langle { \bar { r}} | { \bar { p}} \right\rangle =\bar { p} \int _{{}}^{{}}{{{ d}^{ 3}} r} \left | { \bar { r}} \right\rangle \left\langle { \bar { r}} | { \bar { p}} \right\rangle =\bar { p} \left | { \bar { p}} \right\rangle
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∫ d 3 r | r ¯ ⟩ ( ℏ i ∇ ) ⟨ r ¯ | p ¯ ⟩ = p ¯ ∫ d 3 r | r ¯ ⟩ ⟨ r ¯ | p ¯ ⟩ = p ¯ | p ¯ ⟩ <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mstyle displaystyle= "true" scriptlevel= "0" ><munderover><mo texclass= "OP" > ∫ </mo><mrow data-mjx-texclass= "ORD" ></mrow><mrow data-mjx-texclass= "ORD" ></mrow></munderover></mstyle><mrow data-mjx-texclass= "ORD" ><msup><mi> d</mi><mrow data-mjx-texclass= "ORD" ><mn> 3</mn></mrow></msup><mi> r</mi></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > |</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ⟩ </mo></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mi data-mjx-alternate= "1" > ℏ </mi></mrow><mrow data-mjx-texclass= "ORD" ><mi> i</mi></mrow></mfrac></mrow><mi mathvariant= "normal" > ∇ </mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > ⟨ </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo> |</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ⟩ </mo></mrow><mo> =</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ¯</mo></mover></mrow></mrow><mstyle displaystyle= "true" scriptlevel= "0" ><munderover><mo texclass= "OP" > ∫ </mo><mrow data-mjx-texclass= "ORD" ></mrow><mrow data-mjx-texclass= "ORD" ></mrow></munderover></mstyle><mrow data-mjx-texclass= "ORD" ><msup><mi> d</mi><mrow data-mjx-texclass= "ORD" ><mn> 3</mn></mrow></msup><mi> r</mi></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > |</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ⟩ </mo></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > ⟨ </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo> |</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ⟩ </mo></mrow><mo> =</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > |</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ⟩ </mo></mrow></mstyle></mrow></math>
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