Fluctuations of Quantum Statistical Two-Dimensional Systems of Electrons

Details Fluctuations of Quantum Statistical Two-Dimensional Systems of Electrons Fluctuations of Quantum Statistical Two-Dimensional Systems of Electrons

2005-02-15

arxiv.org/abs/cond-mat/0502362v1

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, {\em e.g.} Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied to following quantum statistical 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. Quantum statistical information functional is defined as negentropy (either opposite of entropy or minus entropy). The distribution function for the random matrix ensembles is derived from the maximum entropy principle.

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