Simulations of fluctuations of quantum statistical systems of electrons
| dc.creator | Duras, Maciej M. | |
| dc.date | 2005-06-02 | |
| dc.date.accessioned | 2026-07-07T03:05:27Z | |
| dc.date.available | 2026-07-07T03:05:27Z | |
| dc.description | The random matrix ensembles (RMT) 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's electrostatic analogy). The Ginibre ensemble of nonhermitean random Hamiltonian matrices $K$ is considered. Each quantum system described by $K$ is a dissipative system and the eigenenergies $Z_{i}$ of the Hamiltonian are complex-valued random variables. The second difference of complex eigenenergies is viewed as discrete analog of Hessian with respect to labelling index. The results are considered in view of Wigner and Dyson's electrostatic analogy. An extension of space of dynamics of random magnitudes is performed by introduction of discrete space of labeling indices. The comparison with the Gaussian ensembles of random hermitean Hamiltonian matrices $H$ is performed. Measures of quantum chaos and quantum integrability with respect to eigenergies of quantum systems are defined and they are calculated. Quantum statistical information functional is defined as negentropy (opposite of von Neumann's entropy or minus entropy). The probability distribution functionals for the random matrix ensembles (RMT) are derived from the maximum entropy principle. | |
| dc.description | 7 pages; presented at poster session of the conference "International Workshop on Classical and Quantum Dynamical Simulations in Chemical and Biological Physics"; June 6, 2005 - June 11, 2005; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2005) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0506062 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0506062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26457 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Simulations of fluctuations of quantum statistical systems of electrons | |
| dc.type | text |