Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-12
Physics
Condensed Matter
Statistical Mechanics
5 pages; presented as a poster at "Coherent Evolution in Noisy Environments"; Workshop: May 21th, 2001- May 25th, 2001; Semina
Scientific paper
The Ginibre ensemble of nonhermitean random Hamiltonian matrices $K$ is considered. Each quantum system described by $K$ is a dissipative system and the eigenenergies $Z_{i}$ of the Hamiltonian are complex-valued random variables. The second difference of complex eigenenergies is viewed as discrete analog of Hessian with respect to labelling index. The results are considered in view of Wigner and Dyson's electrostatic analogy. An extension of space of dynamics of random magnitudes is performed by introduction of discrete space of labeling indices. The comparison with the Gaussian ensembles of random hermitean Hamiltonian matrices $H$ is performed.
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