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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}}

LaTeXML (experimental; uses MathML) rendering

MathML (12.743 KB / 1.792 KB) :

- 𝑑 x ϕ * m ( x ) ϕ n ( x ) = - 𝑑 x m | x x | n = m | n = δ m n superscript subscript subscript 𝑚 differential-d 𝑥 italic-ϕ 𝑥 subscript italic-ϕ 𝑛 𝑥 superscript subscript differential-d 𝑥 inner-product 𝑚 𝑥 inner-product 𝑥 𝑛 inner-product 𝑚 𝑛 subscript 𝛿 𝑚 𝑛 {\displaystyle{\displaystyle\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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MathML (1.776 KB / 375 B) :

dxϕ*m(x)ϕn(x)=dxm|xx|n=m|n=δmn
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Calculated based on the variables occurring on the entire Operatoren im Hilbertraum page

Identifiers

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

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