Quantized form of electron–nucleus interaction in laser fields

Abstract

A general formalism for the treatment of electron–nucleus laser-combined processes is presented in a quantized manner. The laser is described by a coherent state in one mode of the quantized electromagnetic field. The system is composed of one electron and A nucleons and it is handled with A + 1 particle quantum mechanics. As a first step, the coherent state is transformed into the vacuum state, while a classical external field corresponding to the laser field arises. The interaction with the laser beam is taken into account by transforming the system into an oscillating frame, called Henneberger picture, while the electron–nucleus electromagnetic interaction is handled as photon exchange via quantized electromagnetic field and in the second order of perturbation theory. A general expression for the transition probability per unit time is given in the l photonic case.PACS Nos.: 23.20Nx, 32.80Wr