Eigenstates and spectrum for a class of models describing three-mode multiphoton processes
Ying Wu, Xiaoxue Yang · Journal of Optics B Quantum and Semiclassical Optics · 2004
By using an efficient approach developed by us, we present explicit analytical expressions for all the eigenenergies and eigenstates in terms of a parameter lambda for a class of models describing three-mode multiphoton processes. 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 eigenenergies without any unknown parameters.