Quantum chaos in billiards

被引：4

作者：

Baecker, Arnd ^{[1
]}

机构：

[1] Tech Univ Dresden, D-8027 Dresden, Germany

来源：

COMPUTING IN SCIENCE & ENGINEERING | 2007年 / 9卷 / 03期

关键词：

D O I：

10.1109/MCSE.2007.61

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An important class of systems - billiards - can show a wide variety of dynamical behavior. Using tools developed in Python, researchers can interactively study the complexity of these dynamics. Such behavior is directly reflected in properties of the corresponding quantum systems, such as eigenvalue statistics or the structure of eigenfunctions.

引用

页码：60 / 64

页数：5

共 10 条

[1] STATISTICAL PROPERTIES OF HIGHLY EXCITED QUANTUM EIGENSTATES OF A STRONGLY CHAOTIC SYSTEM
AURICH, R
STEINER, F
[J]. PHYSICA D, 1993, 64 (1-3): : 185 - 214
[2] Symbolic dynamics and periodic orbits for the cardioid billiard
Backer, A
Dullin, HR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (06): : 1991 - 2020
[3] Flooding of chaotic eigenstates into regular phase space islands -: art. no. 054102
Bäcker, A
Ketzmerick, R
Monastra, AG
[J]. PHYSICAL REVIEW LETTERS, 2005, 94 (05)
[4] Bäcker A, 2003, LECT NOTES PHYS, V618, P91
[5] Rate of quantum ergodicity in Euclidean billiards
Backer, A
Schubert, R
Stifter, P
[J]. PHYSICAL REVIEW E, 1998, 57 (05): : 5425 - 5447
[6] LEVEL CLUSTERING IN REGULAR SPECTRUM
BERRY, MV
TABOR, M
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686): : 375 - 394
[7] BERRY MV, 1983, CHAOTIC BEHAVIOR DET, P171
[8] CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS
BOHIGAS, O
GIANNONI, MJ
SCHMIT, C
[J]. PHYSICAL REVIEW LETTERS, 1984, 52 (01) : 1 - 4
[9] Mehta M L., 1991, Random Matrices
[10] CLASSICAL DYNAMICS OF A FAMILY OF BILLIARDS WITH ANALYTIC BOUNDARIES
ROBNIK, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (17): : 3971 - 3986

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