Scars in nonintegrable and rational billiards |
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| Authors: | M. Tomiya N. Yoshinaga |
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| Affiliation: | (1) Department of Applied Physics, Faculty of Engineering, Seikei University, Kichijoji-Kitamachi 3-3-1, Musashinoshi, Tokyo, 180, Japan;(2) Department of Physics, Faculty of Science, Saitama University, Shimo-okubo 255, 338 Urawashi, Saitama, Japan |
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| Abstract: | We numerically study quantum mechanical features of the Bunimovich stadium billiard and the rational billiards which approach the former as the number of their sides increases. The statistics of energy levels and eigenfunctions of the rational billiards becomes indistinguishable from that of the Bunimovich stadium billiard below a certain energy. This fact contradicts the classical picture in which the Bunimovich stadium billiard is chaotic, but the rational billiard is pseudointegrable. It is numerically confirmed that the wave functions do not detect the fine structure, which is much smaller than the wavelength. |
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| Keywords: | Quantum chaos pseudointegrable systems Bunimovich stadium rational billiard |
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