COHERENT-STATE PATH-INTEGRAL FOR A TRANSITION AMPLITUDE - A THEORY AND APPLICATIONS

被引:9
作者
KOCHETOV, EA
YARUNIN, VS
机构
[1] Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna
来源
PHYSICA SCRIPTA | 1995年 / 51卷 / 01期
关键词
D O I
10.1088/0031-8949/51/1/007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The analytical methods of path integral (PI) calculations are presented for transition matrix elements in a basis of the generalized coherent states (CS'). Appropriate transformations in phase space are found and the stationary-phase method is developed with a particular emphasis on the PI boundary terms. Examples demonstrate the application of the general scheme for spin systems and the tests of the accuracy of the semiclassical approximation in nonlinear dynamics.
引用
收藏
页码:46 / 53
页数:8
相关论文
共 29 条
[1]   UNITARY REPRESENTATIONS OF NON-COMPACT SUPERGROUPS [J].
BARS, I ;
GUNAYDIN, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (01) :31-51
[2]  
BEREZIN FA, 1980, USP FIZ NAUK, V132, P483
[3]   PATH-INTEGRALS FOR THE NUCLEAR MANY-BODY PROBLEM [J].
BLAIZOT, JP ;
ORLAND, H .
PHYSICAL REVIEW C, 1981, 24 (04) :1740-1761
[4]  
Buzek V., 1988, COLLECTIVE EFFECTS Q
[5]  
CERDEIRA HA, 1991, LECTURES PATH INTEGR
[6]   SPIN TUNNELING IN THE SEMICLASSICAL LIMIT [J].
ENZ, M ;
SCHILLING, R .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (11) :1765-1770
[7]  
Faddeev L. D., 1990, GAUGE FIELDS INTRO Q
[8]   FLUCTUATION PATH-INTEGRALS IN THE GENERALIZED COHERENT STATES REPRESENTATION [J].
FUKUI, T .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (10) :4455-4468
[9]   SU(1,1) COHERENT-STATE DYNAMICS - A PATH-INTEGRAL APPROACH [J].
GERRY, CC .
PHYSICAL REVIEW A, 1989, 39 (03) :971-975
[10]  
GOROKHOV AV, 1985, IZV, V7, P59