TRACES OF GHOST ORBITS IN THE QUANTUM STANDARD MAP

被引：14

作者：

SCHARF, R ^{[1
]}

SUNDARAM, B ^{[1
]}

机构：

[1] TEXAS A&M UNIV, DEPT PHYS, COLLEGE STN, TX 77843 USA

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.49.R4767

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The semiclassical periodic orbit formula is compared with the asymptotic expansion of an exact analytical expression for the trace of the unitary propagator for the quantum standard map. Contributions arising from both real as well as ghost orbits, having complex classical action, have to be included to recover the usual semiclassical fixed point quantization in this limit as was observed by Kus, Haake, and Delande [Phys. Rev. Lett. 71, 2167 (1993)]. The range of validity of this expansion is derived and a way to extend its range is given.

引用

页码：R4767 / R4770

页数：4

共 13 条

[1] Abramowitz M., 1970, HDB MATH FUNCTIONS
[2] EVOLUTION AND EXACT EIGENSTATES OF A RESONANT QUANTUM SYSTEM
CHANG, SJ
SHI, KJ
[J]. PHYSICAL REVIEW A, 1986, 34 (01): : 7 - 22
[3] HASEGAWA H, 1989, PROG THEOR PHYS SUPP, P198, DOI 10.1143/PTPS.98.198
[4] POSTMODERN QUANTUM-MECHANICS
HELLER, EJ
TOMSOVIC, S
[J]. PHYSICS TODAY, 1993, 46 (07) : 38 - 46
[5] HELLER EJ, 1991, CHAOS QUANTUM PHYSIC
[6] SIMPLE-MODELS OF QUANTUM CHAOS - SPECTRUM AND EIGENFUNCTIONS
IZRAILEV, FM
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 196 (5-6): : 299 - 392
[7] REMARKS ON THE QUASI-CLASSICAL PROPAGATOR OF AREA-PRESERVING MAPS
JUNKER, G
LESCHKE, H
[J]. PHYSICA D, 1992, 56 (2-3): : 135 - 150
[8] PREBIFURCATION PERIODIC GHOST ORBITS IN SEMICLASSICAL QUANTIZATION
KUS, M
HAAKE, F
DELANDE, D
[J]. PHYSICAL REVIEW LETTERS, 1993, 71 (14) : 2167 - 2171
[9] Lichtenberg A. J., 1983, REGULAR STOCHASTIC M
[10] QUANTUM SIGNATURES OF HOMOCLINIC TANGLES AND SEPARATRICES
SCHARF, R
SUNDARAM, B
[J]. PHYSICAL REVIEW A, 1992, 45 (06): : 3615 - 3628

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