A note on free time evolution of the quantum wave function and optimal transportation
Mathematical Physics
2022-11-23 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2206.04338,
title = {A note on free time evolution of the quantum wave function and optimal transportation},
author = {Laura M. Morato},
journal= {arXiv preprint arXiv:2206.04338},
year = {2022}
}
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14 pages