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Display information for equation id:math.1609.48 on revision:1609

* Page found: Eigenschaften eindimensionaler stationärer Zustände (eq math.1609.48)

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TeX (original user input):

\int\limits_{-\infty }^{{{x}_{0}}}{\left( {{\phi }_{E}}\acute{\ }{{\phi }_{E}} \right)dx}=-\int\limits_{-\infty }^{{{x}_{0}}}{\left( {{\phi }_{E}}\acute{\ }{{\phi }_{E}}\acute{\ } \right)dx}=\frac{2m}{{{\hbar }^{2}}}(V-E)\int\limits_{-\infty }^{{{x}_{0}}}{{{\phi }_{E}}^{2}dx}>0

TeX (checked):

\int \limits _{-\infty }^{{x}_{0}}{\left({{\phi }_{E}}{\acute {\ }}{{\phi }_{E}}\right)dx}=-\int \limits _{-\infty }^{{x}_{0}}{\left({{\phi }_{E}}{\acute {\ }}{{\phi }_{E}}{\acute {\ }}\right)dx}={\frac {2m}{{\hbar }^{2}}}(V-E)\int \limits _{-\infty }^{{x}_{0}}{{{\phi }_{E}}^{2}dx}>0

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MathML (20.868 KB / 2.714 KB) :

- x 0 ( ϕ E ´ ϕ E ) 𝑑 x = - - x 0 ( ϕ E ´ ϕ E ´ ) 𝑑 x = 2 m 2 ( V - E ) - x 0 ϕ E 2 𝑑 x > 0 superscript subscript subscript 𝑥 0 subscript italic-ϕ 𝐸 ´ absent subscript italic-ϕ 𝐸 differential-d 𝑥 superscript subscript subscript 𝑥 0 subscript italic-ϕ 𝐸 ´ absent subscript italic-ϕ 𝐸 ´ absent differential-d 𝑥 2 𝑚 superscript Planck-constant-over-2-pi 2 𝑉 𝐸 superscript subscript subscript 𝑥 0 superscript subscript italic-ϕ 𝐸 2 differential-d 𝑥 0 {\displaystyle{\displaystyle\int\limits_{-\infty}^{{{x}_{0}}}{\left({{\phi}_{E% }}\acute{\ }{{\phi}_{E}}\right)dx}=-\int\limits_{-\infty}^{{{x}_{0}}}{\left({{% \phi}_{E}}\acute{\ }{{\phi}_{E}}\acute{\ }\right)dx}=\frac{2m}{{{\hbar}^{2}}}(% V-E)\int\limits_{-\infty}^{{{x}_{0}}}{{{\phi}_{E}}^{2}dx}>0}}

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MathML (2.749 KB / 479 B) :

x0(ϕE´ϕE)dx=x0(ϕE´ϕE´)dx=2m2(VE)x0ϕE2dx>0

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Calculated based on the variables occurring on the entire Eigenschaften eindimensionaler stationärer Zustände page

Identifiers

  • x0
  • ϕE
  • ´
  • ϕE
  • x
  • x0
  • ϕE
  • ´
  • ϕE
  • ´
  • x
  • m
  • V
  • E
  • x0
  • ϕE
  • x

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