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Formula:6761

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Digital Library of Mathematical Functions ID 18.39.E6

∇ 2 ⁡ ψ + 2 ⁢ m ℏ 2 ⁢ ( E - V ⁢ ( 𝐱 ) ) ⁢ ψ = 0 , superscript ∇ 2 𝜓 2 𝑚 superscript Planck-constant-over-2-pi 2 𝐸 𝑉 𝐱 𝜓 0 {\displaystyle{\displaystyle\nabla^{2}\psi+\frac{2m}{\hbar^{2}}\left(E-V(% \mathbf{x})\right)\psi=0,}}


Constraint(s)

Symbols List

  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}} : potential energy
  • ψ ⁢ ( x , t ) 𝜓 𝑥 𝑡 {\displaystyle{\displaystyle\psi(x,t)}} : wavefunction
  • E 𝐸 {\displaystyle{\displaystyle E}} : Energy (locally)
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This page was last edited on 28 January 2024, at 10:30.
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