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 λ without the so-called Bethe ansatz assumption. The parameter λ 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.
© 2004 Optical Society of America
Ying Wu and Xiaoxue Yang, "Eigenstates and eigenenergies of four-wave-mixing models," Opt. Lett. 29, 839-841 (2004)