Emergence of Quantum Ergodicity in Rough Billiards

Preprint

14 February 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9702135

Abstract

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.

Keywords

NUMERICAL SIMULATIONS
EMERGENCE OF QUANTUM
ANALYTICAL MAPPING
EIGENVALUE PROBLEM
QUANTUM ERGODICITY
ROUGH BILLIARDS

All Related Versions

Version 1, 1997-02-14, ArXiv
Published version: Physical Review Letters, 79 (10), 1833.

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