Spacings between phase shifts in a simple scattering problem
Mathematical Physics
2009-10-31 v1 math.MP
Spectral Theory
Abstract
We prove a scattering theoretical version of the Berry-Tabor conjecture: for an almost every surface in a class of cylindrical surfaces of revolution, the large energy limit of the pair correlation measure of the quantum phase shifts is Poisson, that is, it is given by the uniform measure.
Cite
@article{arxiv.math-ph/0002006,
title = {Spacings between phase shifts in a simple scattering problem},
author = {Steve Zelditch and Maciej Zworski},
journal= {arXiv preprint arXiv:math-ph/0002006},
year = {2009}
}
Comments
Appeared in: Comm. Math. Phys. 204 (1999), 709--729