arXiv:nlin/0611059v2 [nlin.CD] 7 Sep 2007Quantum mushroom billiardsAlex H. BarnettDepartment of Mathematics, Dartmouth College, Hanover, NH, 03755, USATimo BetckeSchool of Mathematics, The University of Manchester, Manchester, M13 9PL, UK(Dated: February 8, 2008)We report the first large-scale statistical study of very high-lying eigenmodes (quantum states) ofthe mushroom billiard proposed by L. Bunimovich in this journal, 11, 802 (2001). The phase spaceof this mixed system is unusual in that it has a...
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