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Formula:6757

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Digital Library of Mathematical Functions ID 18.39.E2

d 2 η d x 2 + 2 ⁢ m ℏ 2 ⁢ ( E - V ⁢ ( x ) ) ⁢ η = 0 . derivative 𝜂 𝑥 2 2 𝑚 superscript Planck-constant-over-2-pi 2 𝐸 𝑉 𝑥 𝜂 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}\eta}{{\mathrm{d}x}^{2}}+% \frac{2m}{\hbar^{2}}\left(E-V(x)\right)\eta=0.}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}} : potential energy
  • E 𝐸 {\displaystyle{\displaystyle E}} : Energy (locally)
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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