Random Quantum Billiards
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We present a random matrix model suitable for the quantum mechanical description of a particle confined to move inside a two-dimensional domain. Here, the ensemble average corresponds to an average over domain shapes. Although this approach is formally distinct from that of the familiar Gaussian orthogonal ensemble, there is remarkable agreement in the resulting distributions of level spacings and in the spectral rigidity. We discuss possible applications of this ensemble to the analysis of real data sets.
15 pages, 1 LaTex file and 5 postscript figures
15 pages, 1 LaTex file and 5 postscript figures