A realization of Yangian and its applications to the bi-spin system

2003/05/23 by Shuo Jin, Kang Xue, Bing-Hao Xie
Physics and Astronomy · #cond-mat.dis-nn

paper · pdf

published as Commun. Theor. Phys. 39(2003), 1-5 · 11 pages, no figure

arxiv created 2003/05/23 · arxiv updated 2009/11/30

Abstract

Yangian Y(sl(2)) is realized in the bi-spin system coupled with a time-dependent external magnetic field. It is shown that Y(sl(2)) generators can describe the transitions between the ``spin triplet'' and the ``spin singlet'' that evolve with time. Furthermore, new transition operators between the states with Berry phase factor and those between the states of Nuclear Magnetic Resonance (NMR) are presented.

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