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arXiv:2206.04338 · Journal of Mathematical Physics

Free time evolution of the quantum wave function and optimal transportation

Laura M. Morato

Published Oct 1, 2022• 0 citations
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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 Schrodinger equation solves a minimization problem, which is a stochastic generalization of the classical optimal transportation problem with quadratic cost.
DOI
10.1063/5.0105914

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