NUMERICAL STUDY OF THE QUANTUM-MECHANICAL TODA LATTICE

被引:12
作者
MATSUYAMA, A
机构
[1] Department of Physics, Faculty of Liberal Arts, Shizuoka University, Shizuoka
关键词
D O I
10.1016/0375-9601(92)90761-A
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The quantum mechanical three-body periodic Toda lattice is studied by the direct diagonalization of the Hamiltonian. The eigenstates are classified according to the representations of the group S3. The energy spectra are shown to have the same universal statistical properties as integrable systems.
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页码:124 / 129
页数:6
相关论文
共 17 条
[2]   QUANTIZING A CLASSICALLY ERGODIC SYSTEM - SINAI BILLIARD AND THE KKR METHOD [J].
BERRY, MV .
ANNALS OF PHYSICS, 1981, 131 (01) :163-216
[3]   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
[4]   ENERGY-LEVEL STATISTICS OF INTEGRABLE QUANTUM-SYSTEMS [J].
CASATI, G ;
CHIRIKOV, BV ;
GUARNERI, I .
PHYSICAL REVIEW LETTERS, 1985, 54 (13) :1350-1353
[5]   QUANTUM LEVEL STATISTICS OF PSEUDOINTEGRABLE BILLIARDS [J].
CHEON, T ;
COHEN, TD .
PHYSICAL REVIEW LETTERS, 1989, 62 (24) :2769-2772
[6]  
GUTZWILLER M., 1990, CHAOS CLASSICAL QUAN
[7]   QUANTUM-MECHANICAL TODA LATTICE [J].
GUTZWILLER, MC .
ANNALS OF PHYSICS, 1980, 124 (02) :347-381
[8]   THE QUANTUM-MECHANICAL TODA LATTICE .2. [J].
GUTZWILLER, MC .
ANNALS OF PHYSICS, 1981, 133 (02) :304-331
[9]   INTEGRALS OF TODA LATTICE [J].
HENON, M .
PHYSICAL REVIEW B, 1974, 9 (04) :1921-1923
[10]   TRANSITION FROM REGULAR TO IRREGULAR SPECTRA IN QUANTUM BILLIARDS [J].
ISHIKAWA, T ;
YUKAWA, T .
PHYSICAL REVIEW LETTERS, 1985, 54 (15) :1617-1619