Spacings between phase shifts in a simple scattering problem
数学物理
2009-10-31 v1 math.MP
谱理论
摘要
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.
引用
@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}
}
备注
Appeared in: Comm. Math. Phys. 204 (1999), 709--729