  Random matrix ensembles (RME) of quantal statistical Hamiltonian operators,
e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix
ensembles (Ginibre RME), had been applied in literature in study of following
quantal statistical systems: molecular systems, nuclear systems, disordered
materials, random Ising spin systems, quantal chaotic systems, and
two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures
of quantum chaos and quantum integrability with respect to eigenergies of
quantal systems are defined and calculated. Information functional is defined
as negentropy (opposite of entropy or minus entropy). Entropy is neginformation
(opposite of information or minus information. The distribution functions for
the random matrix ensembles are derived from the maximum entropy principle.
