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Display information for equation id:math.1621.27 on revision:1621

* Page found: Operatoren im Hilbertraum (eq math.1621.27)

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Hash: e9c1f35d623e0caf0c1cd6e666ef33ef

TeX (original user input):

\int_{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int_{-\infty }^{\infty }{dx}\left\langle  m | x \right\rangle \left\langle  x | n \right\rangle =\left\langle  m | n \right\rangle ={{\delta }_{mn}}

TeX (checked):

\int _{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int _{-\infty }^{\infty }{dx}\left\langle m|x\right\rangle \left\langle x|n\right\rangle =\left\langle m|n\right\rangle ={{\delta }_{mn}}

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dxϕm(x)ϕn(x)=dxm|xx|n=m|n=δmn
<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"><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi mathvariant="normal"></mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal"></mi></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mi>ϕ</mi><msub><mo stretchy="false" lspace="0" rspace="0"></mo><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi mathvariant="normal"></mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal"></mi></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>m</mi><mo stretchy="false">|</mo><mi>x</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>x</mi><mo stretchy="false">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>m</mi><mo stretchy="false">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>

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  • x
  • ϕ
  • m
  • x
  • ϕn
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  • n
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  • n
  • δmn

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