Quantum Chaos in Multi-Matrix Models
High Energy Physics - Theory
2007-05-23 v1
Abstract
We propose a possible resolution for the problem of why the semicircular law is not observed, whilst the random matrix hypothesis describes well the fluctuation of energy spectra. We show in the random 2-matrix model that the interactions between the quantum subsystems alter the semicircular law of level density. We consider also other types of interactions in the chain- and star-multimatrix models. The connection with the Calogero-Sutherland models is briefly discussed.
Cite
@article{arxiv.hep-th/9507089,
title = {Quantum Chaos in Multi-Matrix Models},
author = {E. Vinteler},
journal= {arXiv preprint arXiv:hep-th/9507089},
year = {2007}
}
Comments
15 pages, Latex; 1 figure (available from author )