⚛️ Quantum Mechanics Simulator

Explore wave-particle duality, quantum wave functions, tunneling through barriers, and the Heisenberg uncertainty principle through interactive, physics-accurate simulations.

Particles fired one at a time build up a wave interference pattern — as if each particle passes through both slits simultaneously. Toggle between particle accumulation and wave visualisation modes.

Wavelength λ 50 px

Slit Separation d 80 px

Fire Rate 10 /s

MODE:

Paused

Particles fired0

Fringe spacing Δy ≈ λD/d—

Intensity formulaI ∝ cos²(πd sinθ / λ)

Quantum wave functions for a particle in an infinite square well (ψ_n = √2 · sin(nπx/L)) and quantum harmonic oscillator. Blue = Re[ψ(x,t)], shaded area = probability density |ψ(x)|².

Quantum number n n = 1

Potential type

Animation speed 3×

Paused

Energy E_n—

Interior nodes0

Wave function—

A Gaussian wave packet tunnels through a rectangular barrier even when E < V₀. Transmission T = exp(−2κL) where κ = √(V₀−E) with ℏ = 1, m = ½. Watch incident, reflected, and transmitted packets evolve in real time.

Barrier height V₀ 3.0

Barrier width L 60 px

Particle energy E 1.0

Paused

Transmission T—

Reflection R—

κ = √(V−E)—

FormulaT = e^(−2κL), κ=√(V−E)

Heisenberg uncertainty principle: Δx · Δp ≥ ℏ/2. A minimum-uncertainty Gaussian wave packet achieves the lower bound exactly. Drag the Δx slider and watch Δp respond inversely. Click Animate to see the packet spread over time.

Position width Δx 0.50

Centre momentum k₀ 0.0

Paused

Δx (pos. width)—

Δp (mom. width)—

Δx · Δp—

ℏ/2 (minimum)0.500

PrincipleΔx · Δp ≥ ℏ/2