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Modern Physics · wave mechanics

Time-Independent Schrödinger Equation

Relates a stationary-state wavefunction to total and potential energy.

Eψ = −(ℏ²/2m)∇²ψ + Uψ

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Variables

E
energy eigenvalueJ
ψ
wavefunction
ℏ
reduced Planck constantJ·s
m
particle masskg
U
potential energyJ

Conditions / notes

This is the time-independent form for a specified potential.

Reference details

Subject
Modern Physics
Topic
wave mechanics
Plain text
E psi = - (hbar^2 / (2m)) nabla^2 psi + U psi

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