theory.toys – Bohmian Trajectories

Slit Separation: 4.0

Number of Particles: 20

Particle Speed: 1🔑 Unlock

Show Wavefunction Intensity

Show Velocity Field🔑 Unlock

Show Quantum Potential🔑 Unlock

Pilot Wave Statistics

                        Particles evolved: 0

                        Trajectories cross: Never

Instructions

Watch particles follow pilot wave trajectories
Adjust slit separation for different patterns
Notice: trajectories never cross!

De Broglie-Bohm Theory

In the pilot wave interpretation, particles have definite positions at all times, guided by the wavefunction. The velocity is v = ℏ/m × Im(∇ψ/ψ), derived from the phase gradient. The quantum potential Q = -ℏ²/2m × ∇²R/R creates the "quantum force" that bends trajectories to reproduce interference patterns. Trajectories never cross because they follow streamlines of a deterministic velocity field.