SUPERCOHERENT STATES

被引:54
作者
FATYGA, BW
KOSTELECKY, VA
NIETO, MM
TRUAX, DR
机构
[1] UNIV CALIF LOS ALAMOS SCI LAB,DIV THEORET,LOS ALAMOS,NM 87545
[2] UNIV CALGARY,DEPT CHEM,CALGARY T2N 1N4,ALBERTA,CANADA
来源
PHYSICAL REVIEW D | 1991年 / 43卷 / 04期
关键词
D O I
10.1103/PhysRevD.43.1403
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A general approach is presented for constructing coherent states for supersymmetric systems. It uses Roger's supermanifold formulation of supergroups to extend the group-theoretic method. Supercoherent states are explicitly obtained for the supersymmetric harmonic oscillator. They are shown to be eigenstates of the supersymmetric annihilation operator and to be minimum-uncertainty states. Two more-complex situations with extended physical supersymmetries are also considered: an electron moving in a constant magnetic field, and the electron-monopole system. The supercoherent states for these systems are found using super Baker-Campbell-Hausdorff relations and their interpretation is elucidated.
引用
收藏
页码:1403 / 1412
页数:10
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