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
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
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.
Received: 04 March 2004
Revised: 05 August 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 90103026 and 10125419)
Cite this article:
Zhan Zhi-Ming (詹志明), Li Wei-Bin (李伟斌), Yang Wen-Xing (杨文星) Eigenstates and eigenergies of seven bosonic modes mixing models 2005 Chinese Physics 14 149
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