Read the probability
P(r, t) = |ψ(r, t)|²Denser regions are more likely places to detect the particle. The cloud illustrates one particle's possible positions; its dots are not a swarm of particles or their paths.
Two paths, one wavefunction
A coherent superposition in three-dimensional space.
Phase−π+πPoint density = position probability
Watch the waves interfere
ψ ∝ ψ₁ + eiφψ₂Overlapping amplitudes can reinforce or cancel each other. Change the relative phase to move the interference bands. Color shows phase, not electric charge.
Connect wave and particle
Wave evolution → localized detectionA position measurement gives one location. Repeat on identically prepared states and the outcomes follow |ψ|². This demo leaves the state intact to compare those repetitions.