2003/07/28 by M. M. Duras, Maciej M. Duras, Duras, Maciej M.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0307665
10 pages; presented at poster session of the conference "Dynamics Days 2003; XXIII annual conference - 4 decades of chaos 1963-2003"; September 24, 2003 - September 27, 2003; University of the Balearic Islands, Palma de Mallorca, Spain (2003)
arxiv created 2003/07/28 · openalex publication_date 2003/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The random matrix ensembles (RME) of quantum statistical Hamiltonians, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied in literature to following quantum statistical systems: molecular systems, nuclear systems, disordered materials, random Ising spin 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. Quantum statistical 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.