Quantum and Arithmetical Chaos
混沌动力学
2007-05-23 v1
摘要
The lectures are centered around three selected topics of quantum chaos: the Selberg trace formula, the two-point spectral correlation functions of Riemann zeta function zeros, and of the Laplace--Beltrami operator for the modular group. The lectures cover a wide range of quantum chaos applications and can serve as a non-formal introduction to mathematical methods of quantum chaos.
引用
@article{arxiv.nlin/0312061,
title = {Quantum and Arithmetical Chaos},
author = {Eugene Bogomolny},
journal= {arXiv preprint arXiv:nlin/0312061},
year = {2007}
}
备注
Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003