Statistics of infinite dimensional random matrix ensembles

Details Statistics of infinite dimensional random matrix ensembles Statistics of infinite dimensional random matrix ensembles

2003-01-30

arxiv.org/abs/cond-mat/0301607v2

Physics

Condensed Matter

Statistical Mechanics

5 pages; presented at poster session of the conference "Statistical Mechanics of Space-Time Chaos"; July 12th, 2000 to July 16

Scientific paper

A quantum statistical system with energy dissipation is studied. Its
statisitics is governed by random complex-valued non-Hermitean Hamiltonians
belonging to complex Ginibre ensemble. The eigenenergies are shown to form
stable structure in thermodynamical limit (large matrix dimension limit).
Analogy of Wigner and Dyson with system of electrical charges is drawn.

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