Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes
LI Wei-Bin1, ZHAN Zhi-Ming2, XIE Xiao-Tao1, LUO Jin-Ming1, WU Xuan1
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes
LI Wei-Bin1;ZHAN Zhi-Ming2;XIE Xiao-Tao1;LUO Jin-Ming1;WU Xuan1
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
Abstract： The analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter λ without the assumption of Bethe ansatz for two kinds of five-mode mixing models. It is found that the parameter can be determined by the roots of a simple polynomial. We also illustrate the exact analytical expressions of eigenstates and energies without any unknown parameter.
LI Wei-Bin;ZHAN Zhi-Ming;XIE Xiao-Tao;LUO Jin-Ming;WU Xuan. Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes[J]. 中国物理快报, 2004, 21(6): 1003-1005.
LI Wei-Bin, ZHAN Zhi-Ming, XIE Xiao-Tao, LUO Jin-Ming, WU Xuan. Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes. Chin. Phys. Lett., 2004, 21(6): 1003-1005.
2004, Vol. 21 
