Quantum Harmonic Oscillator
Wavefunctions ψₙ(x), probability densities |ψ|², and time evolution
State n₁:
0
State n₂:
1
Mix α:
0.50
Speed:
Wavefunction ψ
Probability |ψ|²
Superposition (time)
Pause
Energy Eₙ = ℏω(n + ½). Wavefunctions: ψₙ(x) = Hₙ(x)·e^(−x²/2)/√(2ⁿn!√π). Superposition shows quantum beating between energy levels.