Quantum symmetrical statistical system: Ginibre-Girko ensemble
Duras, Maciej M.
Original · EN
The Ginibre ensemble of complex random Hamiltonian matrices H is considered. Each quantum system described by H is a dissipative system and the eigenenergies Zᵢ of the Hamiltonian are complex-valued random variables. For generic N-dimensional Ginibre ensemble analytical formula for distribution of second difference Δ¹ Zᵢ of complex eigenenergies is presented. The distributions of real and imaginary parts of Δ¹ Zᵢ and also of its modulus and phase are provided for N=3. The results are considered in view of Wigner and Dyson's electrostatic analogy. General law of homogenization of eigenergies for different random matrix ensembles is formulated.
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.