A NEW INTEGRAL-EQUATION FOR TREATING HIGH-INTENSITY MULTIPHOTON PROCESSES

In the present paper we derive a new integral equation for the non-per turbative evaluation of transition matrix elements for high-intensity multiphoton processes. Our method will be partly based on the Kramers- Henneberger transformation. In the course of the development of our th eory we shall relate our approach to previous investigations along sim ilar lines. As a specific example we shall apply our integral equation to the problem of light scattering and present a multiphoton generali zation of the Kramers-Heisenberg dispersion formula. We shall then app ly this general formula to the study of higher-harmonic generation fro m a short-range potential with a single bound state, and evaluate the rates R(n) of the n-th-order harmonic for a set of specifically chosen parameters.