Chaos Induced by Quantization

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dc.creatorShigehara, Takaomi
dc.creatorMizoguchi, Hiroshi
dc.creatorMishima, Taketoshi
dc.creatorCheon, Taksu
dc.date1998-02-03
dc.date.accessioned2026-07-07T06:14:45Z
dc.date.available2026-07-07T06:14:45Z
dc.descriptionIn this paper, we show that two-dimensional billiards with point interactions inside exhibit a chaotic nature in the microscopic world, although their classical counterpart is non-chaotic. After deriving the transition matrix of the system by using the self-adjoint extension theory of functional analysis, we deduce the general condition for the appearance of chaos. The prediction is confirmed by numerically examining the statistical properties of energy spectrum of rectangular billiards with multiple point interactions inside. The dependence of the level statistics on the strength as well as the number of the scatterers is displayed. KEYWORDS: wave chaos, quantum mechanics, pseudointegrable billiard, point interaction, functional analysis
dc.descriptionReVTeX 7pg with inlet figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9802008
dc.identifierhttp://arxiv.org/abs/quant-ph/9802008
dc.identifierIEICE Trans.Fund.Elec.Comm.Comp.Sci. E81-A (1998) 1762-1768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93581
dc.subjectQuantum Physics
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.titleChaos Induced by Quantization
dc.typetext

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