Quantum Wave Packet in 3D

Split-operator Schrödinger evolution (ℏ = m = 1). The complex wave function ψ(x,t) is drawn as a helix: height = Re ψ, depth = Im ψ, colour = phase. Drag the yellow handle on the floor to move the launch point, or click the floor to relaunch there.

Scenario

Playback

Parameters

Packet width σ

Momentum k₀

Potential height V₀

Time steps per frame

Density height scale

View

ψ helix (Re, Im) Probability curtain |ψ|² Re / Im projections Auto-rotate camera

Live readouts

time t0

⟨x⟩0

⟨p⟩0

norm ∫|ψ|²dx1

⟨E⟩ energy0

peak |ψ|²0

P(x < 0)0

P(x > 0)0

Probability left / right of the cut

leftright (transmitted)