Statistics of complex dissipative systems
Abstract
Description
A quantum statistical random system with energy dissipation is studied. Its statistics is governed by random complex-valued non-Hermitean Hamiltonians belonging to complex Ginibre ensemble of random matrices. The eigenenergies of Hamiltonians are shown to form stable structure. Analogy of Wigner and Dyson with system of electrical charges is drawn.
7 pages; presented at poster session of the conference "Space Time Chaos: Characterization, Control and Synchronization"; June 19th, 2000 to June 23rd, 2000; Department of Physics and Applied Mathematics and Institute of Physics, University of Navarra, Pamplona, Navarra, Spain (2000)
7 pages; presented at poster session of the conference "Space Time Chaos: Characterization, Control and Synchronization"; June 19th, 2000 to June 23rd, 2000; Department of Physics and Applied Mathematics and Institute of Physics, University of Navarra, Pamplona, Navarra, Spain (2000)