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Zeitschrift für Naturforschung A

Boundary Conditions for the DKP Particle in the One-Dimensional Box

Boutheina Boutabia-Chéraitia, Abdenacer Makhlouf

Published Mar 16, 2016• 0 citations
Publisher

Abstract

Abstract In this article, we study a relativistic DKP particle in a one-dimensional box. We prove that it is impossible that the wavefunction vanishes completely at the box walls and provides various boundary conditions for this problem.
DOI
10.1515/zna-2015-0435

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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 self-adjoint. We determine the Wigner functions of the corresponding eigenfunctions and analyze in detail their classical limit, governed by their behavior 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 a dependence on singular non-local boundary conditions persists in the classical limit.
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