Non-Hermitian Random Matrices and Integrable Quantum Hamiltonians

Toshinao Akuzawa; Miki Wadati

doi:10.1143/jpsj.65.1583

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Non-Hermitian Random Matrices and Integrable Quantum Hamiltonians

Toshinao Akuzawa, Miki Wadati

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Keywords: 1/r² integrable system, non-Hermitian random matrix, Laguerre ensemble, Brownian motion, Fokker-Planck equation

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1996 Volume 65 Issue 6 Pages 1583-1588

DOI https://doi.org/10.1143/jpsj.65.1583

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Abstract

We study a Brownian motion model of non-Hermitian matrix elements and show a mapping from random matrices to integrable quantum Hamiltonians of type V. This mapping has not yet been known and reveals a simple structure behind quantum Hamiltonians of type V.

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