Anomalous diffusion and dynamical localization in polygonal billiards |
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Authors: | Prosen T Znidaric M |
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Affiliation: | Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1111 Ljubljana, Slovenia. |
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Abstract: | We study numerically classical and quantum dynamics of a piecewise parabolic area preserving map on a cylinder which emerges from the bounce map of elongated triangular billiards. The classical map exhibits anomalous diffusion. Quantization of the same map results in a system with dynamical localization and pure point spectrum. |
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