WAVE CHAOS IN SINGULAR QUANTUM BILLIARD

被引:138
作者
SEBA, P
机构
[1] Institute of Mathematics, Ruhr University Bochum
关键词
D O I
10.1103/PhysRevLett.64.1855
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a solvable singular quantum billiard which displays fully developed wave chaos. Its level statistics is investigated and proved to coincide with predictions of the Gaussian orthogonal ensemble of random matrices. The corresponding wave functions are shown to be well approximated by a Gaussian ransom variable. © 1990 The American Physical Society.
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页码:1855 / 1858
页数:4
相关论文
共 16 条
[1]  
Albeverio S., 2005, SOLVABLE MODELS QUAN, V2nd ed.
[2]  
[Anonymous], 1970, RUSS MATH SURV, DOI [10.1070/RM1970v025n02ABEH003794, DOI 10.1070/RM1970V025N02ABEH003794]
[3]  
ANTOINE JP, 1987, J PHYS A, V20, P3587
[4]   QUANTUM CHAOS OF THE HADAMARD-GUTZWILLER MODEL [J].
AURICH, R ;
SIEBER, M ;
STEINER, F .
PHYSICAL REVIEW LETTERS, 1988, 61 (05) :483-487
[5]   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
[7]   QUANTIZING A CLASSICALLY ERGODIC SYSTEM - SINAI BILLIARD AND THE KKR METHOD [J].
BERRY, MV .
ANNALS OF PHYSICS, 1981, 131 (01) :163-216
[8]   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
[9]   ENERGY-LEVEL STATISTICS OF INTEGRABLE QUANTUM-SYSTEMS [J].
CASATI, G ;
CHIRIKOV, BV ;
GUARNERI, I .
PHYSICAL REVIEW LETTERS, 1985, 54 (13) :1350-1353
[10]   EXTREME LEVEL REPULSION FOR CHAOTIC QUANTUM HAMILTONIANS [J].
CAURIER, E ;
GRAMMATICOS, B .
PHYSICS LETTERS A, 1989, 136 (7-8) :387-390