中国物理B ›› 2005, Vol. 14 ›› Issue (1): 149-153.doi: 10.1088/1009-1963/14/1/027

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Eigenstates and eigenergies of seven bosonic modes mixing models

杨文星1, 李伟斌2, 詹志明3   

  1. (1);Department of Physics, Huazhong University of Science and Technology, Wuhan,430074, ChinaCenter for Cold Atom Physics, Chinese Academy of Sciences,Wuhan,430071, China; (2)Department of Physics, Huazhong University of Science and Technology, Wuhan,430074, China; (3)State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan,430074}, China
  • 收稿日期:2004-03-04 修回日期:2004-08-05 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90103026 and 10125419)

Eigenstates and eigenergies of seven bosonic modes mixing models

Zhan Zhi-Ming (詹志明)a, Li Wei-Bin (李伟斌)b, Yang Wen-Xing (杨文星)bc    

  1. a State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; b Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; c Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2004-03-04 Revised:2004-08-05 Online:2005-01-20 Published:2005-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90103026 and 10125419)

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摘要： We present the explicit analytical results of all the eigenstates and eigenvalues by using a parameter $\lambda$ without the assumption of Bethe ansatz for three different kinds of seven bosonic modes mixing models. It is shown that the parameter is determined by the roots of a simple polynomial.Besides, we also accurately obtain the explicit analytical expressions of infinite eigenstates and energies without any unknown parameter.

关键词: spectra, eigenstate, eigenenergy

Abstract: We present the explicit analytical results of all the eigenstates and eigenvalues by using a parameter $\lambda$ without the assumption of Bethe ansatz for three different kinds of seven bosonic modes mixing models. It is shown that the parameter is determined by the roots of a simple polynomial.Besides, we also accurately obtain the explicit analytical expressions of infinite eigenstates and energies without any unknown parameter.

Key words: spectra, eigenstate, eigenenergy

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