Quantum Chaos in Multi-Matrix Models

E. Vinteler

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arXiv · hep-th/9507089

Quantum Chaos in Multi-Matrix Models

E. Vinteler

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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.

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E. Vinteler. 1995-07-17. Quantum Chaos in Multi-Matrix Models. https://arxiv.org/abs/hep-th/9507089

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