Bohmian Double Slit (WebGL2)

A quantum wave packet travels according to the Schrödinger equation. The barrier splits it into two coherent parts; after the slits those parts overlap and form interference.

iℏ∂ψ∂t = [ -ℏ²2m∇² + V ]ψ

The brightness is the Born density. The phase view colors the argument of the same wave.

ρ(x,t) = |ψ|², ψ = Re^iS/ℏ

A Bohmian particle has a definite position, and their velocity is determined by the propability current. The Guiding Law is:

ẋ = ∇Sm = jρ, j = ℏm Im(ψ^*∇ψ)

The Pauli option adds an extra term in the current arising from the spin. Paths can change while the same wave density still governs the pattern.

ẋ = jρ + ℏs_zmρ (∂_yρ, -∂_xρ)

Bohmian Double Slit

Theory