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⚛️ Quantum Harmonic Oscillator (2D)

Interactive 2D plot of the quantum harmonic oscillator: Hermite-polynomial wavefunctions ψ_n(x), probability density |ψ_n(x)|², the parabolic potential well V(x)=½mω²x², quantized energy levels Eₙ=ℏω(n+½) and classical turning points.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

Plot the quantum harmonic oscillator's wavefunctions ψₙ(x) and probability densities |ψₙ(x)|² against the parabolic potential well V(x)=½mω²x². Adjust the quantum number n (0-6) and the spring constant ω, toggle between ψ and |ψ|² views, and watch the wave breathe under time evolution while energy levels Eₙ=ℏω(n+½) and classical turning points update live.

quantum mechanicswavefunctionHermite polynomialsenergy levelsprobability densitycanvas2d

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install