| BCS Ground State and XXZ Antiferromagnetic Model as SU（2）,SU（1,1） Coherent States：AN Algebraic Diagonalization Method |
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| 引用本文： | XIEBing_Hao ZHANGHong－Biao.BCS Ground State and XXZ Antiferromagnetic Model as SU（2）,SU（1,1） Coherent States：AN Algebraic Diagonalization Method[J].理论物理通讯,2002,37(3):292-296. |
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| 作者姓名： | XIEBing_Hao ZHANGHong－Biao |
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| 作者单位： | [1]TheoreticalPhysicsDIvision,NankaiInstituteofMathematics,NankaiUniversity,Tianjin300071,China [2]DepartmentofPhysics,NortheastNormalUniversity,Changchun130024,China |
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| 摘 要： | An algebraic diagonalization method is proposed.As two examples,the Hamiltonians of BCS ground state under mean-field approximation and XXZ antiferromagnetic model in linear spin-wave frame have been diagonalized by using SU(2),SU(1,1) Lie algebraic method,respectively.Meanwhile,the eignenstates of the above two models are revealed to be SU(2),SU(1,1) coherent states,respectively,The relation between the usual Bogoliubov-Valatin transformation and the algebraic method in a special case is also discussed.
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| 关 键 词： | 多体问题 BCS模型 相干态 |
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