A ONE DIMENSIONAL MODEL FUR QUANTUM CHAOS

被引：4

作者：

HEISS, WD ^{[1
]}

KOTZE, AA ^{[1
]}

机构：

[1] UNIV WITWATERSRAND,CTR NONLINEAR STUDIES,JOHANNESBURG 2050,SOUTH AFRICA

来源：

ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI | 1990年 / 335卷 / 02期

关键词：

03.65.-w; 05.45.±b;

D O I：

10.1007/BF01294467

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Energy levels of a square well containing δ-function barriers on a Cantor set are analysed. According to the standard tests the spectrum has the characteristics of quantum chaotic behaviour. A discussion on the connection between the spectrum, the wave functions and the exceptional points in the case of quantum chaos is given. © 1990 Springer-Verlag.

引用

页码：131 / 137

页数：7

共 16 条

[1] POTENTIAL FOR MIXING IN QUANTUM CHAOS [J].

ADACHI, S ;

TODA, M ;

IKEDA, K .

PHYSICAL REVIEW LETTERS, 1988, 61 (06) :655-658

[2]

Berry M.V., 1985, CHAOTIC BEHAVIOUR QU

[3]

BOHIGAS O, 1984, LECTURE NOTES PHYSIC, V209

[4] 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

[5] 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

[6] QUANTUM-MECHANICS OF CLASSICALLY NON-INTEGRABLE SYSTEMS [J].

ECKHARDT, B .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1988, 163 (04) :205-297

[7] ENERGY-LEVELS FOR A SQUARE-WELL CONTAINING DELTA-FUNCTION BARRIERS ON A CANTOR SET [J].

HEISS, WD ;

STEEB, WH .

PHYSICAL REVIEW A, 1989, 39 (11) :6018-6021

[8] EXCEPTIONAL POINTS OF A HAMILTONIAN AND PHASE-TRANSITIONS IN FINITE SYSTEMS [J].

HEISS, WD .

ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1988, 329 (02) :133-138

[9] FLUCTUATIONS IN TRANSITIONAL REGIONS OF FINITE FERMI SYSTEMS [J].

HEISS, WD ;

KOTZE, AA .

ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1988, 331 (03) :223-228

[10]

HEISS WD, IN PRESS J PHYS A

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