Abstract
Random matrix ensembles (RME) of quantum statistical Hamiltonians, Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), found applications in study of following quantum statistical systems: molecular systems, nuclear systems, disordered materials, random Ising spin systems, quantum chaotic systems, two-dimensional quantum gravity and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Quantum statistical information functional is defined as negentropy (minus entropy). Entropy is neginformation (minus information). The distribution functions for the various random matrix ensembles are derived from the maximum entropy principle.
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