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Non-Abelian Berry phase Factor of the Degenerate states
引用本文:Wang Jianbo Shanxi Teacher''''s University. Non-Abelian Berry phase Factor of the Degenerate states[J]. 山西师范大学学报:自然科学版, 1991, 0(4)
作者姓名:Wang Jianbo Shanxi Teacher''''s University
摘    要:Suppose the degenerate states wave function of a Hamitonian operatorHis accompanied by a natural phase factor, then we can own it to the role of sometransformation generator played by some non--degenerate Hermitian operator containedin the complete set of conserved mechanical quantities. When this idea is extended tothe spece coordinated by parameters and the momentum--like operator is introduced,thenon-Abelian Berry phose factor of degenerate wave function can be easily gotter afterthe system evolves along a closed adiabatic curve.


Non-Abelian Berry phase Factor of the Degenerate states
Wang Jianbo Shanxi Teacher''''s University. Non-Abelian Berry phase Factor of the Degenerate states[J]. Journal of Shanxi Teachers University, 1991, 0(4)
Authors:Wang Jianbo Shanxi Teacher''''s University
Affiliation:Wang Jianbo Shanxi Teacher's University
Abstract:Suppose the degenerate states wave function of a Hamitonian operator His accompanied by a natural phase factor, then we can own it to the role of some transformation generator played by some non--degenerate Hermitian operator contained in the complete set of conserved mechanical quantities. When this idea is extended to the spece coordinated by parameters and the momentum--like operator is introduced,the non-Abelian Berry phose factor of degenerate wave function can be easily gotter after the system evolves along a closed adiabatic curve.
Keywords:Degnerate state  Non-Abelian Berry phase factor
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