1. State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China 2. Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:
We present the analytical expressions of eigenstates and eigenenergies by using a parameter λ without the assumption of Bethe
anzatz for three kinds of seven-bosonic-mode mixing models. The parameter is shown to be, determined by the roots of a simple
polynomial. We also demonstrate the exact analytical expressions of eigenstates and energies without any unknown parameter.