Quantum fluctuations of systems of interacting electrons in two spatial dimensions
Abstract
Description
The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, 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 (opposite of entropy or minus entropy). The distribution function for the random matrix ensembles is derived from the maximum entropy principle.
8 pages; presented at poster session of the conference "International Workshop on Critical Stability of Few-Body Quantum Systems"; October 17, 2005 - October 22, 2005; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2005). Additional minor corrections and changes
8 pages; presented at poster session of the conference "International Workshop on Critical Stability of Few-Body Quantum Systems"; October 17, 2005 - October 22, 2005; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2005). Additional minor corrections and changes