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arXiv · 2404.17430

Classical echoes of quantum boundary conditions

Giuliano Angelone·Paolo Facchi·Marilena Ligabò
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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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Giuliano Angelone, Paolo Facchi, Marilena Ligabò. 2024-04-26. Classical echoes of quantum boundary conditions. https://doi.org/10.1088/1751-8121/ad7428

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