  The random matrix ensembles (RME), especially Gaussian random matrix
ensembles GRME and Ginibre random matrix ensembles, are applied to following
quantum systems: nuclear systems, molecular systems, and two-dimensional
electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum
chaos and quantum integrability with respect to eigenergies of quantum systems
are defined and calculated. The distribution function for the random matrix
ensembles is derived from the maximum entropy principle. Information functional
is defined as negentropy (opposite of entropy or minus entropy).
