Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians

We present a new method for finding isolated exact solutions of a class of nonadiabatic Hamiltonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian. (C) 2002 American Institute of Physics.