Interactions of Electrons with Oscillating Electric Fields

1 Interactions of Electrons with Oscillating Electric Fields 

Let s start by considering the interaction of an electron with the oscillating electrical field E) of linearly polarized light as in Eq. (3.15a)  

The oscillating field adds a time-dependent term to the Hamiltonian operator for the electron. To an approximation that often proves acceptable, we can write the perturbation as the dot product of E with the dipole operator, p  

Summing over all the charged particles between the plates gives the total energy of interaction of the particles with the external field  

Here Q is the net charge of the system (Lqi), R is the center of charge defined as 

---