dorsal/arxiv
View SchemaChaos Induced by Quantization
| Authors | Takaomi Shigehara, Hiroshi Mizoguchi, Taketoshi Mishima, Taksu Cheon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802008 |
| URL | https://arxiv.org/abs/quant-ph/9802008 |
| Journal | IEICE Trans.Fund.Elec.Comm.Comp.Sci. E81-A (1998) 1762-1768 |
Abstract
In 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
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"abstract": "In this paper, we show that two-dimensional billiards with point interactions\ninside exhibit a chaotic nature in the microscopic world, although their\nclassical counterpart is non-chaotic. After deriving the transition matrix of\nthe system by using the self-adjoint extension theory of functional analysis,\nwe deduce the general condition for the appearance of chaos. The prediction is\nconfirmed by numerically examining the statistical properties of energy\nspectrum of rectangular billiards with multiple point interactions inside. The\ndependence of the level statistics on the strength as well as the number of the\nscatterers is displayed.\n KEYWORDS: wave chaos, quantum mechanics, pseudointegrable billiard, point\ninteraction, functional analysis",
"arxiv_id": "quant-ph/9802008",
"authors": [
"Takaomi Shigehara",
"Hiroshi Mizoguchi",
"Taketoshi Mishima",
"Taksu Cheon"
],
"categories": [
"quant-ph",
"chao-dyn",
"cond-mat",
"nlin.CD"
],
"journal_ref": "IEICE Trans.Fund.Elec.Comm.Comp.Sci. E81-A (1998) 1762-1768",
"title": "Chaos Induced by Quantization",
"url": "https://arxiv.org/abs/quant-ph/9802008"
},
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