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Titolo: SOME PROPERTIES OF INVARIANT RANDOMMATRIX ENSEMBLES AND THEIR CONNECTION TO ERGODIC AND NONERGODIC HAMILTONIANSYSTEMS
Autore: LEITNER DM; CEDERBAUM LS;
 Indirizzi:
 UNIV HEIDELBERG,NEUENHEIMER FELD 150 W6900 HEIDELBERG GERMANY
 Titolo Testata:
 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
fascicolo: 1,
volume: 49,
anno: 1994,
pagine: 114  121
 SICI:
 1063651X(1994)49:1<114:SPOIRE>2.0.ZU;2V
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 ENERGYLEVELS; FLUCTUATIONS; SPECTRUM;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Science Citation Index Expanded
 Science Citation Index Expanded
 Citazioni:
 26
 Recensione:
 Indirizzi per estratti:



 Citazione:
 D.M. Leitner e L.S. Cederbaum, "SOME PROPERTIES OF INVARIANT RANDOMMATRIX ENSEMBLES AND THEIR CONNECTION TO ERGODIC AND NONERGODIC HAMILTONIANSYSTEMS", Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 114121
Abstract
Standard randommatrix ensembles, for example, the wellknown Gaussian ensembles, are constructed under the constraint of invariance under a canonical transformation, and have been generally developed as models for ergodic Hamiltonian systems. Herein, we consider invariant matrix ensembles that model the energylevel statistics of nonergodic systems, and contain the ergodic limit as a special case. After examining some properties of invariant matrix ensembles, we present numerical calculations of probability densities of matrix elements. We focus on theextreme case of an invariant ensemble yielding eigenvalues with Poisson statistics, i.e., level statistics of semiclassical, integrable Hamiltonians, from which we can determine essential differences between invariant ensembles modeling ergodic and nonergodic systems. The ensemble presented here is compared with aspecific model Hamiltonian, whose degree of ergodicity is determined by variation of a single parameter. The model Hamiltonian is block diagonalized to an ''ensemble'' of small blocks for parameter values varied between the ergodic and nonergodic limits. Distributions of elements observed in the blocks are compared with those predicted by the matrix ensembles.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 28/09/20 alle ore 18:31:33