Emergence of Quantum Ergodicity in Rough Billiards
Condensed Matter
2009-10-30 v1
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
Cite
@article{arxiv.cond-mat/9702135,
title = {Emergence of Quantum Ergodicity in Rough Billiards},
author = {Klaus M. Frahm and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9702135},
year = {2009}
}
Comments
revtex, 4 pages, 4 figures