On the level spacing distribution in quantum graphs

被引：95

作者：

Barra, F ^{[1
]}

Gaspard, P ^{[1
]}

机构：

[1] Free Univ Brussels, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

来源：

JOURNAL OF STATISTICAL PHYSICS | 2000年 / 101卷 / 1-2期

关键词：

level spacing distribution; quantum graphs; random matrix theory; quantum chaology; ergodicity; Poincare surface of section;

D O I：

10.1023/A:1026495012522

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a formula for the level spacing probability distribution in quantum graphs. We apply it to simple examples and we discuss its relation with previous work and its possible application in more general cases. Moreover, we derive an exact and explicit formula for the level spacing distribution of integrable quantum graphs.

引用

页码：283 / 319

页数：37

共 13 条

[1] Two-point spectral correlations for star graphs [J].

Berkolaiko, G ;

Keating, JP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (45) :7827-7841

[2] LEVEL CLUSTERING IN REGULAR SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394

[3] 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

[4]

BERRY MV, 1983, CHAOTIC BEHAVIOR DET, P171

[5]

BOHIGAS O, 1991, LES HOUCH S, V52, P87

[6]

Gutzwiller MC, 1990, INTERDISCIPLINARY AP

[7]

Haake F., 1991, QUANTUM SIGNATURES C

[8] Chaotic scattering on graphs [J].

Kottos, T ;

Smilansky, U .

PHYSICAL REVIEW LETTERS, 2000, 85 (05) :968-971

[9] Quantum chaos on graphs [J].

Kottos, T ;

Smilansky, U .

PHYSICAL REVIEW LETTERS, 1997, 79 (24) :4794-4797

[10]

Kottos T., 1999, ANN PHYS-NEW YORK, V273, P1

← 1 2 →