STRUCTURAL INVARIANCE AND THE STATISTICS OF QUASI-ENERGIES

被引：25

作者：

LEYVRAZ, F

SELIGMAN, TH

机构：

[1] Laboratorio de Cuernavaca, Instituto de Fisica, University of Mexico (UNAM), Mexico City

来源：

PHYSICS LETTERS A | 1992年 / 168卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(92)90516-O

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the theory of unitary representations of classical canonical transformations we discuss the time evolution operator for a periodically time dependent system over one period. The concept of structural invariance is introduced to classify the classical evolution. This permits us to derive the statistical behaviour of quasi-energies in terms of random matrix statistics.

引用

收藏

页码：348 / 352

页数：5

相关论文

共 19 条

[1] SEMICLASSICAL LEVEL SPACINGS WHEN REGULAR AND CHAOTIC ORBITS COEXIST [J].

BERRY, MV ;

ROBNIK, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (12) :2413-2421

[2]

BOHIGAS O, 1986, P C QUANTUM CHAOS ST

[3] 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

[4]

Cartan E., 1935, ABH MATH SEM HAMBURG, V11, P116

[5]

Casati G., 1979, LECTURE NOTES PHYSIC, V93, P334, DOI DOI 10.1007/BFB0021757

[6] CANONICAL-TRANSFORMATIONS TO ACTION AND ANGLE VARIABLES AND THEIR REPRESENTATIONS IN QUANTUM-MECHANICS .3. THE GENERAL PROBLEM [J].

DEENEN, J ;

MOSHINSKY, M ;

SELIGMAN, TH .

ANNALS OF PHYSICS, 1980, 127 (02) :458-477

[7]

Dirac PAM, 1947, PRINCIPLES QUANTUM M

[8] A BROWNIAN-MOTION FOR EIGENVALUES OF A RANDOM MATRIX [J].

DYSON, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (06) :1191-+

[9] ERGODIC BEHAVIOR IN THE STATISTICAL-THEORY OF NUCLEAR-REACTIONS [J].

FRENCH, JB ;

MELLO, PA ;

PANDEY, A .

PHYSICS LETTERS B, 1978, 80 (1-2) :17-19

[10]

HUA LK, 1963, HARMONIC ANAL FUNCTI