2003/12/23 by Eugene Bogomolny, Bogomolny, Eugene
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0312061
Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003
arxiv created 2003/12/23 · arxiv updated 2009/12/01
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.