Application of hermitean and nonhermitean random matrices to quantum statistical systems
Duras, Maciej M.
Original · EN
The Ginibre ensemble of nonhermitean random Hamiltonian matrices K is considered. Each quantum system described by K is a dissipative system and the eigenenergies Zᵢ 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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.