Related papers: Classical echoes of quantum boundary conditions

Classical echoes of quantum boundary conditions

URL: http://arxiv.org/abs/2404.17430v1
Date: Fri, 26 Apr 2024 14:11:20 GMT
Title: Classical echoes of quantum boundary conditions
Authors: Giuliano Angelone, Paolo Facchi, Marilena Ligabò,
Abstract summary: We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions. We analyze in detail their classical limit in the high-energy regime.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the Wigner functions of the corresponding eigenfunctions and analyze in detail their classical limit in the high-energy regime. We show that the quantum boundary conditions split into two classes: all local and regular boundary conditions collapse to the same classical boundary condition, while singular non-local boundary conditions slightly persist in the classical limit.

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