A quantum wave packet travels according to the Schrodinger equation. The barrier splits it into two coherent parts; after the slits those parts overlap and form interference.
The brightness is the Born density. The phase view colors the argument of the same wave.
A Bohmian particle has a definite position, and its velocity is determined by the probability current. The guiding law is:
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.