Quantum statistical information functional for random matrix ensembles

Maciej M. Duras

doi:10.1117/12.547359

25 May 2004 Quantum statistical information functional for random matrix ensembles

Maciej M. Duras

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.547359
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

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.

Citation Download Citation

Maciej M. Duras "Quantum statistical information functional for random matrix ensembles", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.547359

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