Physics – Quantum Physics
Scientific paper
1998-02-03
IEICE Trans.Fund.Elec.Comm.Comp.Sci. E81-A (1998) 1762-1768
Physics
Quantum Physics
ReVTeX 7pg with inlet figures
Scientific paper
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
Cheon Taksu
Mishima Taketoshi
Mizoguchi Hiroshi
Shigehara Takaomi
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