Quantum chaos for two interacting particles confined to a circular billiard

E.P.S. Xavier, M.C. Santos, L.G.G.V. Dias da Silva, M.G.E. da Luz and M.W. Beims

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 377-382

Abstract: We discuss the problem of two quantum particles confined to a circular billiard, interacting through a Yukawa potential and subjected to a weak constant magnetic field. From the statistical analysis of the energy spectrum, we show that the system presents a very interesting oscillation between quantum regular and irregular (chaotic) behavior as a function of the masses ratio of the particles.

Keywords: Two-particles systems; Quantum billiard; Yukawa interaction; Quantum chaos (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:377-382

DOI: 10.1016/j.physa.2004.04.097

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