Emergence of Quantum Ergodicity in Rough Billiards

Details Emergence of Quantum Ergodicity in Rough Billiards Emergence of Quantum Ergodicity in Rough Billiards

1997-02-14

arxiv.org/abs/cond-mat/9702135v1

Physics

Condensed Matter

revtex, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.79.1833

By analytical mapping of the eigenvalue problem in rough billiards on to a
band random matrix model a new regime of Wigner ergodicity is found. There the
eigenstates are extended over the whole energy surface but have a strongly
peaked structure. The results of numerical simulations and implications for
level statistics are also discussed.

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