Chinese Physics Letters

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

Li-Jun Tian, Guo-Hong Yang, Hongbiao Zhang, Jing-Min Hou

Published Jun 28, 2006• 2 citations

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)).

DOI: 10.1088/0256-307x/23/7/001

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