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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 |
| 1Department of Physics, Shanghai University, Shanghai 200444
2Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
3Department of Physics, Southeast University, Nanjing 210096 |
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| Cite this article: |
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TIAN Li-Jun, YANG Guo-Hong, ZHANG Hong-Biao et al 2006 Chin. Phys. Lett. 23 1659-1661 |
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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)).
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| Keywords:
02.20.-a
03.65.-w
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Published: 01 July 2006
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