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Titolo: The statistical nonergodicity of the eigenstates of the quantum chaotic systems and its semiclassical limit
Autore: Zhang, FZ; Wang, J; Gu, Y;
 Indirizzi:
 Univ Sci & Technol China, Dept Astron & Appl Phys, Hefei 230026, Peoples RChina Univ Sci & Technol China Hefei Peoples R China 230026 26, Peoples RChina Univ Sci & Technol China, Ctr Nonlinear Sci, Hefei 230026, Peoples R ChinaUniv Sci & Technol China Hefei Peoples R China 230026 6, Peoples R China
 Titolo Testata:
 ACTA PHYSICA SINICA
fascicolo: 12,
volume: 48,
anno: 1999,
pagine: 2169  2179
 SICI:
 10003290(199912)48:12<2169:TSNOTE>2.0.ZU;2K
 Fonte:
 ISI
 Lingua:
 CHI
 Soggetto:
 BAKER TRANSFORMATION; PHASESPACE; SCARS;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 22
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Zhang, FZ Univ Sci & Technol China, Dept Astron & Appl Phys, Hefei 230026,Peoples RChina Univ Sci & Technol China Hefei Peoples R China 230026 s RChina



 Citazione:
 F.Z. Zhang et al., "The statistical nonergodicity of the eigenstates of the quantum chaotic systems and its semiclassical limit", ACT PHY C E, 48(12), 1999, pp. 21692179
Abstract
In the semiclassical limit, the nonergodicity of the eigenstates, theta(k)(j), of circular unitary ensemble (CUE) are investigated. To study statistically the nonergodicity of the eigenstates, of a quantum system, a pair of statistical functions, Phi(N)(j) = Sigma(k=0)(N1)\theta(k)(j)\(4) and Psi(N)(j) = Sigma(k=0)(N1)root\theta k(j)\(2), are defined to show the scars and antiscars respectively. In the frame of random Matrix Theory, Phi(N)(j)s and Psi(N)(j)s for random orthohormal unit vectors are calculated. It is shown that their averages and fluctuations will tend to zero with the increase of N, while they follow the scaling laws. Compared with Phi(N)(j)s and Psi(N)(j)s Obtained from the eigenstates of the quantum baker's transformation, it is found that, with the presence of scars (or antiscars), the fluctuations of the statistical functions of the eigenstates of the quantum baker's transformation will be greater than those of the random matrices, and tend to zero much slower in the semiclassical limit of N > infinity.
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Documento generato il 26/09/20 alle ore 04:26:53