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An Isaac Newton Institute Workshop

Random Matrix Theory and Arithmetic Aspects of Quantum Chaos

Semiclassical evidence for universal spectral correlations in quantum chaos

Author: Martin Sieber (University of Bristol)

Abstract

Almost all quantum systems which are chaotic in their classical limit exhibit universality when statistical distributions of energy levels are evaluated. Spectral correlations are found to agree with those between eigenvalues of random matrices. We report on recent progress in semiclassical methods that provide a theoretical basis for the connection between quantum chaos and random matrix theory.