数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (S1): 34-45.

• 论文 • 上一篇    下一篇

COHERENT STATE REPRESENTATION OF THE LIE SUPERALGEBRA OSP(1,2)

曾高坚, 匡乐满   

  1. CCAST(World Laboratory), P. O. Box 8730. Beijing 100080. China and(Mailing address) Dept. of Physics, Hunan Normal University, Changsha 410006, China
  • 收稿日期:1993-02-24 修回日期:1995-11-20 出版日期:1996-12-31 发布日期:1996-12-31

COHERENT STATE REPRESENTATION OF THE LIE SUPERALGEBRA OSP(1,2)

Zeng Gaojian, Kuang Leman   

  1. CCAST(World Laboratory), P. O. Box 8730. Beijing 100080. China and(Mailing address) Dept. of Physics, Hunan Normal University, Changsha 410006, China
  • Received:1993-02-24 Revised:1995-11-20 Online:1996-12-31 Published:1996-12-31

摘要: We construct coherent states associated with the Lie superalgebra OSP(1. 2) with the aid of two SU(2) coherent states and discuss their properties in detail. We also evaluate the matrix elements of the OSP(1, 2) generators in the coherent-state representation and give a realization for the OSP(1, 2) generators in the coherent state space.

关键词: Coherent state, Lie superalgebra

Abstract: We construct coherent states associated with the Lie superalgebra OSP(1. 2) with the aid of two SU(2) coherent states and discuss their properties in detail. We also evaluate the matrix elements of the OSP(1, 2) generators in the coherent-state representation and give a realization for the OSP(1, 2) generators in the coherent state space.

Key words: Coherent state, Lie superalgebra