1996/05/20 by Sanjay Jain · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Connection (principal bundle) #Eigenvalues and eigenvectors #Gaussian #Geometry #Integrable system #Mathematical physics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Physics #Pure mathematics #Quantum #Quantum chaos #Quantum dynamics #Quantum gravity #Quantum mechanics #Random Matrices and Applications #Random matrix #Statistical Mechanics and Entropy #Statistical physics #Symplectic geometry #Unitary matrix #Unitary state #chao-dyn #cond-mat #hep-th #nlin.CD
paper · pdf · doi:10.1142/s0217732396001223
published as Mod.Phys.Lett. A11 (1996) 1201 · 26 pages, LaTex
openalex publication_date 1996/05/20 · arxiv created 1996/12/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Random matrix theory (RMT) provides a common mathematical formulation of distinct physical questions in three different areas: quantum chaos, the 1-D integrable model with the 1/r 2 interaction (the Calogero-Sutherland-Moser system) and 2-D quantum gravity. We review the connection of RMT with these areas. We also discuss the method of loop equations for determining correlation functions in RMT, and smoothed global eigenvalue correlators in the two-matrix model for Gaussian orthogonal, unitary and symplectic ensembles.