  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.
