  A complex quantum system with energy dissipation is considered. The quantum
Hamiltonians $H$ belong the complex Ginibre ensemble. The complex-valued
eigenenergies $Z_{i}$ are random variables. The second differences $\Delta^{1}
Z_{i}$ are also complex-valued random variables. The second differences have
their real and imaginary parts and also radii (moduli) and main arguments
(angles). For $N$=3 dimensional Ginibre ensemble the distributions of above
random variables are provided whereas for generic $N$- dimensional Ginibre
ensemble second difference distribution is analytically calculated. The law of
homogenization of eigenergies is formulated. The analogy of Wigner and Dyson of
Coulomb gas of electric charges is studied.
