Coherent states for a quantum particle on a circle

被引:105
作者
Kowalski, K [1 ]
Rembielinski, J [1 ]
Papaloucas, LC [1 ]
机构
[1] UNIV ATHENS,DEPT MATH,ATHENS 15784,GREECE
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 14期
关键词
D O I
10.1088/0305-4470/29/14/034
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The coherent states for a quantum particle on a circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra [(J) over cap, U] = U, where U is unitary, which is a direct consequence of the Heisenberg algebra [<(phi)over cap>, (J) over cap] = i, but it is more adequate for the study of circular motion.
引用
收藏
页码:4149 / 4167
页数:19
相关论文
共 23 条
[11]  
Emch GerardG, 1972, ALGEBRAIC METHODS ST
[12]  
Isham C. J., 1984, RELATIVITY GROUPS TO, VII, P1059
[13]   AMPLITUDE AND PHASE UNCERTAINTY RELATIONS [J].
LOUISELL, WH .
PHYSICS LETTERS, 1963, 7 (01) :60-61
[14]  
Louisell WH., 1964, RAD NOISE QUANTUM EL
[15]  
Lynch R., 1995, Physics Reports, V256, P367, DOI 10.1016/0370-1573(94)00095-K
[16]   FUNDAMENTAL ALGEBRA FOR QUANTUM-MECHANICS ON SD AND GAUGE POTENTIALS [J].
OHNUKI, Y ;
KITAKADO, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (07) :2827-2851
[17]  
Perelomov A., 1986, GEN COHERENT STATES
[18]   PLANE PENDULUM IN QUANTUM-MECHANICS [J].
PRADHAN, T ;
KHARE, AV .
AMERICAN JOURNAL OF PHYSICS, 1973, 41 (01) :59-66
[19]   ON THE REPRESENTATIONS OF QUANTUM OSCILLATOR ALGEBRA [J].
RIDEAU, G .
LETTERS IN MATHEMATICAL PHYSICS, 1992, 24 (02) :147-153
[20]   A CHARACTERISTIC FUNCTIONAL FOR DEFORMED PHOTON PHENOMENOLOGY [J].
SOLOMON, AI .
PHYSICS LETTERS A, 1994, 196 (1-2) :29-34