Ionisation by quantised electromagnetic fields: The photoelectric effect
arXiv:math-ph/0610023 · doi:10.1142/S0129055X08003316
Abstract
In this paper we explain the photoelectric effect in a variant of the standard model of non relativistic quantum electrodynamics, which is in some aspects more closely related to the physical picture, than the one studied in [BKZ]: Now we can apply our results to an electron with more than one bound state and to a larger class of electron-photon interactions. We will specify a situation, where ionisation probability in second order is a weighted sum of single photon terms. Furthermore we will see, that Einstein's equality \[E_{kin}=hν-\bigtriangleup E>0\] for the maximal kinetic energy of the electron, energy of the photon and ionisation gap is the crucial condition for these single photon terms to be nonzero.
59 pages, LATEX2E