DISCRETE SYMMETRIES AND THE PERIODIC-ORBIT EXPANSIONS

被引：42

作者：

LAURITZEN, B

机构：

[1] Nordisk Institut for Teoretisk Fysik, DK-2100 Copenhagen

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.43.603

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A factorization of the dynamical Z function of the periodic-orbit expansion is presented for a Hamiltonian system displaying discrete symmetries. It is shown that the periodic orbits that are pointwise invariant under a symmetry operation require special treatment.

引用

页码：603 / 606

页数：4

共 17 条

[1] RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS
ARTUSO, R
AURELL, E
CVITANOVIC, P
[J]. NONLINEARITY, 1990, 3 (02) : 325 - 359
[2] RECYCLING OF STRANGE SETS .2. APPLICATIONS
ARTUSO, R
AURELL, E
CVITANOVIC, P
[J]. NONLINEARITY, 1990, 3 (02) : 361 - 386
[3] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE-EQUATION IN A FINITE DOMAIN .3. EIGENFREQUENCY DENSITY OSCILLATIONS
BALIAN, R
BLOCH, C
[J]. ANNALS OF PHYSICS, 1972, 69 (01) : 76 - &
[4] PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS
CVITANOVIC, P
ECKHARDT, B
[J]. PHYSICAL REVIEW LETTERS, 1989, 63 (08) : 823 - 826
[5] INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES
CVITANOVIC, P
[J]. PHYSICAL REVIEW LETTERS, 1988, 61 (24) : 2729 - 2732
[6] PERIODIC ORBITS AND CLASSICAL QUANTIZATION CONDITIONS
GUTZWILL.MC
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) : 343 - &
[7] THE QUANTIZATION OF A CLASSICALLY ERGODIC SYSTEM
GUTZWILLER, MC
[J]. PHYSICA D, 1982, 5 (2-3): : 183 - 207
[8] APPLICABILITY OF 3 INTEGRAL OF MOTION - SOME NUMERICAL EXPERIMENTS
HENON, M
HEILES, C
[J]. ASTRONOMICAL JOURNAL, 1964, 69 (01) : 73 - &
[9] LAURITZEN B, UNPUB
[10] PERIODIC ORBIT DESCRIPTION OF TUNNELING IN SYMMETRIC AND ASYMMETRIC DOUBLE-WELL POTENTIALS
MILLER, WH
[J]. JOURNAL OF PHYSICAL CHEMISTRY, 1979, 83 (08) : 960 - 963

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