Theory of Multiphoton Processes by Farhad H. M. Faisal (auth.)
By Farhad H. M. Faisal (auth.)
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Extra info for Theory of Multiphoton Processes
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1. Introduction The essence of the theory of multiphoton processes proper lies in perturbation theory of one form or another. In this chapter we shall present a systematic development of perturbation theory and the relevant diagrammatic technique suitable for multiphoton processes. The simplest form of perturbation theory for multiphoton processes is that originally developed by Dirac(7J for studying, among other things, the interaction of radiation with matter. This method is suitable for both time-dependent and time-independent interactions.
It is now clear that the role of the term H~ in Eq. 4) has been merely to perturb the photon energy hw into liw'; this is due to back coupling of the field mode with itself via the atomic electrons. Later on we shall see that an analogous perturbation of an atomic energy level takes place due to back coupling of a level with itself via the photons. 22) where Hn is the Hermite polynomial of order n. 26) Comparison of Eq. 25) with Eqs. 9) shows that now the term H~ has disappeared from the Hamiltonian expressed in the dressed (primed) modes.
17). It is now clear that the role of the term H~ in Eq. 4) has been merely to perturb the photon energy hw into liw'; this is due to back coupling of the field mode with itself via the atomic electrons. Later on we shall see that an analogous perturbation of an atomic energy level takes place due to back coupling of a level with itself via the photons. 22) where Hn is the Hermite polynomial of order n. 26) Comparison of Eq. 25) with Eqs. 9) shows that now the term H~ has disappeared from the Hamiltonian expressed in the dressed (primed) modes.