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Jilin Normal University Journal

The Influence of Yangian Algebra on Transition Operator

Chunjie Li

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

According to the spin realization of Y(SL(2)) algebra,this paper can give the transition operators that cause transition among quantum states with the same number of Lie algebra area,and also give the ones that cause transition among quantum states with different numbers of Yangian algebra area.Applying the spin realization of Y(SL(2)) algebra in an extra magnetic field,it can give the transition operators among the time quantum states.

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Communications in Theoretical Physics•Jun 1, 2010•0 citations
According to the spin realization of Y(SL(2)) algebra,this paper can give the transition operators that cause transition among quantum states with the same number of Lie algebra area,and also give the ones that cause transition among quantum states with different numbers of Yangian algebra area.Applying the spin realization of Y(SL(2)) algebra in an extra magnetic field,it can give the transition operators among the time quantum states.
Yangian Y(sl(2))Y(sl(2))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))Y(sl(2))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.