HARMONIC WELL

Quantum harmonic oscillator wavefunctions

State: n=0,1,2,3,4

H = -ℏ²/2m ∂²/∂x² + ½mω²x²

ψₙ(x) = Hₙ(x)e^(-x²/2)

Eₙ = ℏω(n + ½)