  The Ginibre ensemble of complex random Hamiltonian matrices $H$ is
considered. Each quantum system described by $H$ is a dissipative system and
the eigenenergies $Z_{i}$ of the Hamiltonian are complex-valued random
variables. For generic $N$-dimensional Ginibre ensemble analytical formula for
distribution of second difference $\Delta^{1} Z_{i}$ of complex eigenenergies
is presented. The distributions of real and imaginary parts of $\Delta^{1}
Z_{i}$ 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.
