CLASSICAL AND QUANTUM STRUCTURES IN THE KICKED-TOP MODEL

被引:45
作者
DARIANO, GM
EVANGELISTA, LR
SARACENO, M
机构
[1] POLITECN TORINO, DIPARTIMENTO FIS, I-10129 TURIN, ITALY
[2] CENS, CEA, SERV PHYS THEOR, F-91191 GIF SUR YVETTE, FRANCE
[3] INST PHYS NUCL, DIV PHYS THEOR, F-91406 ORSAY, FRANCE
[4] UNIV ESTADUAL MARINGA, DEPT FIS, BR-87020 MARINGA, PARANA, BRAZIL
[5] COMIS NACL ENERGIA ATOM, DEPT FIS, RA-1429 BUENOS AIRES, DF, ARGENTINA
来源
PHYSICAL REVIEW A | 1992年 / 45卷 / 06期
关键词
D O I
10.1103/PhysRevA.45.3646
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the relationship between classical and quantum structures for a map on the sphere whose behavior can be chaotic in the classical limit. On the classical side we implement an efficient method to locate periodic points on symmetry lines. On the quantum side we show how matrix elements of the propagator in the coherent-state representation are connected to classical structures. Diagonal and off-diagonal matrix elements are related to periodic points, symmetry lines, and other invariant structures in phase space, both in the time and in the energy domains. The scarring phenomena related to the short periodic orbits and their homoclinic neighborhoods are discussed.
引用
收藏
页码:3646 / 3658
页数:13
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