Reduced Properties and Applications of Y（sl（2）） Algebra for a Two-Spin System  

作　　者：田立君 杨国宏 张宏标 侯净敏 

机构地区：[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

出　　处：《Chinese Physics Letters》2006年第7期1659-1661,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10447125, 10575068, 10405006, and 10547107, and the Natural Science Foundation of Shanghai Municipal Committee of Science and Technology under Grant Nos 04ZR14059 and 04DZ05905, and the Shanghai Education Development Foundation under Grant No 214675 and the Shanghai Leading Academic Discipline Project under Grant No T0104.

摘　　要：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） ）.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） ）.

关 键 词：YANGIAN SYMMETRY HYDROGEN-ATOM OPERATORS 

分 类 号：O41[理学—理论物理]