SPECTRAL AUTOCORRELATION FUNCTION IN THE STATISTICAL-THEORY OF ENERGY-LEVELS

被引：56

作者：

ALHASSID, Y

LEVINE, RD

机构：

[1] YALE UNIV, AW WRIGHT NUCL STRUCT LAB, NEW HAVEN, CT 06511 USA

[2] HEBREW UNIV JERUSALEM, FRITZ HABER RES CTR MOLEC DYNAM, IL-91904 JERUSALEM, ISRAEL

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.46.4650

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The spectral autocorrelation function is evaluated analytically for the Gaussian ensembles of Hamiltonian matrices. A direct comparison of the prediction of these ensembles with experimentally measured spectra is thereby possible. Also computed is the time autocorrelation function of an initially prepared nonstationary state. The repulsion of eigenstates in the time domain is clearly manifested in the analytic result.

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页码：4650 / 4653

页数：4

相关论文

共 25 条

[1] CHAOTIC PROPERTIES OF THE INTERACTING-BOSON MODEL - A DISCOVERY OF A NEW REGULAR REGION [J].

ALHASSID, Y ;

WHELAN, N .

PHYSICAL REVIEW LETTERS, 1991, 67 (07) :816-819

[2] CHAOS IN THE LOW-LYING COLLECTIVE STATES OF EVEN-EVEN NUCLEI [J].

ALHASSID, Y ;

NOVOSELSKY, A ;

WHELAN, N .

PHYSICAL REVIEW LETTERS, 1990, 65 (24) :2971-2974

[3] TRANSITION-STRENGTH FLUCTUATIONS AND THE ONSET OF CHAOTIC MOTION [J].

ALHASSID, Y ;

LEVINE, RD .

PHYSICAL REVIEW LETTERS, 1986, 57 (23) :2879-2882

[4]

[Anonymous], 1967, RANDOM MATRICES

[5] SEMICLASSICAL THEORY OF SPECTRAL RIGIDITY [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :229-251

[6] CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].

BOHIGAS, O ;

GIANNONI, MJ ;

SCHMIT, C .

PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4

[7] RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].

BRODY, TA ;

FLORES, J ;

FRENCH, JB ;

MELLO, PA ;

PANDEY, A ;

WONG, SSM .

REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479

[8] ENERGY-LEVEL STATISTICS OF INTEGRABLE QUANTUM-SYSTEMS [J].

CASATI, G ;

CHIRIKOV, BV ;

GUARNERI, I .

PHYSICAL REVIEW LETTERS, 1985, 54 (13) :1350-1353

[9] QUANTUM CHAOS AND STATISTICAL PROPERTIES OF ENERGY-LEVELS - NUMERICAL STUDY OF THE HYDROGEN-ATOM IN A MAGNETIC-FIELD [J].

DELANDE, D ;

GAY, JC .

PHYSICAL REVIEW LETTERS, 1986, 57 (16) :2006-2009

[10] CORRELATIONS IN ANTICROSSING SPECTRA AND SCATTERING-THEORY - ANALYTICAL ASPECTS [J].

GUHR, T ;

WEIDENMULLER, HA .

CHEMICAL PHYSICS, 1990, 146 (1-2) :21-38