2019/05/25 by Akhilesh Pandey, Pandey, Akhilesh, Avanish Kumar +3 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1905.10596
openalex publication_date 2019/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.