Quantum Chaotic Systems and Random Matrix Theory
Statistical Mechanics
2019-05-28 v1 Quantum Physics
Abstract
This article is an introductory review of random matrix theory (RMT) and its applications, with special focus on quantum chaos. Random matrices were first used by Wigner to understand the spectra of complex nuclei from a statistical perspective. Subsequently there have been novel applications to diverse areas, e.g., atomic and molecular physics, mesoscopic and nanoscopic systems, microwave cavities, econophysics, biological sciences, communication theory. This article is designed to be accessible at the graduate and post-doctoral level.
Keywords
Cite
@article{arxiv.1905.10596,
title = {Quantum Chaotic Systems and Random Matrix Theory},
author = {Akhilesh Pandey and Avanish Kumar and Sanjay Puri},
journal= {arXiv preprint arXiv:1905.10596},
year = {2019}
}