Reduced Properties and Applications of Y(sl(2)) Algebra for a Two-Spin System
TIAN Li-Jun1 , YANG Guo-Hong1 , ZHANG Hong-Biao2 , HOU Jing-Min3
1 Department of Physics, Shanghai University, Shanghai 200444
2 Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
3 Department of Physics, Southeast University, Nanjing 210096
Reduced Properties and Applications of Y(sl(2)) Algebra for a Two-Spin System
TIAN Li-Jun1 ;YANG Guo-Hong1 ;ZHANG Hong-Biao2 ;HOU Jing-Min3
1 Department of Physics, Shanghai University, Shanghai 200444
2 Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
3 Department of Physics, Southeast University, Nanjing 210096
关键词 ：
02.20.-a ,
03.65.-w
Abstract ： By taking a special constraint for a general realization of Y(sl(2)), two sets of sl(2) algebras are presented, in which a u(1) algebra is hidden. With the help of this constraint, the block-diagonal form can be written to the generator J of Yangian algebras, and especially it is a rotational transformation of a spin in the elementary quantum mechanics. This sheds new light on the physical meaning of Y(sl(2)).
Key words ：
02.20.-a
03.65.-w
出版日期: 2006-07-01
引用本文:
TIAN Li-Jun;YANG Guo-Hong;ZHANG Hong-Biao;HOU Jing-Min. Reduced Properties and Applications of Y(sl(2)) Algebra for a Two-Spin System[J]. 中国物理快报, 2006, 23(7): 1659-1661.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I7/1659
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