title: Eigenstates and eigenenergies of four-wave-mixing models.
abstract: We present explicit analytical expressions of all the eigenenergies and eigenstates for two different kinds of four-wave-mixing model in terms of a parameter lambda without the so-called Bethe ansatz assumption. The parameter lambda is shown to be determined by the roots of a simple polynomial. We also obtain the exact explicit analytical expressions of infinite eigenstates and energies without any unknown parameter.
authors.affiliation: Department of Physics and State Key Laboratory of Laser Technique, Huazhong University of Science and Technology, Wuhan 430074, China. yingwu2@eyou.com
authors.forename: Ying
authors.initials: Y
authors.lastname: Wu
authors.forename: Xiaoxue
authors.initials: X
authors.lastname: Yang