General solution to the spherical Raman-Nath equation
C T Lee · Journal of Physics A Mathematical and General · 1987
The spherical Raman-Nath equation, a difference-differential equation describing stimulated Compton scattering, is transformed into a partial differential equation for the probability amplitude in spherical phase space by using the Q representation of the atomic coherent states. With the quantum electron recoil as the perturbation parameter, a perturbative solution up to indefinite high order is obtained. This is a general solution because the initial condition can be arbitrary.