A note on free time evolution of the quantum wave function and optimal transportation
arXiv:2206.04338 · doi:10.1063/5.0105914
Abstract
It is shown that, in the absence of nodes and under regularity assumptions, a solution in a finite interval of time of the free Schroedinger equation solves a minimization problem which is a stochastic generalization of the classical optimal transportation problem with quadratic cost.
14 pages