A realization of Yangian and its applications to the Bi-spin system in an external magnetic field

Shuo Jin; Kang Xue; Bing Hao Xie

doi:10.1088/0253-6102/39/1/1

A realization of Yangian and its applications to the Bi-spin system in an external magnetic field

Shuo Jin^*
, Kang Xue
, Bing Hao Xie

^*Corresponding author for this work

Nankai University
Northeast Normal University

Research output: Contribution to journal › Article › peer-review

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 are presented.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	39
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/39/1/1
State	Published - 15 Jan 2003
Externally published	Yes

Keywords

Bi-spin system
Transition operator
Yangian

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10.1088/0253-6102/39/1/1

Cite this

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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 are presented.",

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AU - Xue, Kang

AU - Xie, Bing Hao

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Y1 - 2003/1/15

N2 - 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 are presented.

AB - 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 are presented.

KW - Bi-spin system

KW - Transition operator

KW - Yangian

UR - https://www.scopus.com/pages/publications/0037440524

U2 - 10.1088/0253-6102/39/1/1

DO - 10.1088/0253-6102/39/1/1

M3 - 文章

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SN - 0253-6102

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JO - Communications in Theoretical Physics

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A realization of Yangian and its applications to the Bi-spin system in an external magnetic field

Abstract

Keywords

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