Quantum Harmonic Oscillator
The harmonic oscillator has equally spaced energy levels and wavefunctions shaped by Hermite polynomials. Move through the first 20 eigenstates to see the uniform spacing and how the probability density spreads with energy.
Wavefunction
ψn(x)
Probability
|ψn|2
En = 0.5 ℏ ω
ψn(x) = 1 / √(2n n!) π-1/4 Hn(x)
e-x2/2
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