Ionisation by quantised electromagnetic fields: The photoelectric effect

Details Ionisation by quantised electromagnetic fields: The photoelectric effect Ionisation by quantised electromagnetic fields: The photoelectric effect

2006-10-10

arxiv.org/abs/math-ph/0610023v1

Rev.Math.Phys.20:367-406,2008

Physics

Mathematical Physics

59 pages, LATEX2E

Scientific paper

10.1142/S0129055X08003316

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 \[E_{kin}=h\nu-\bigtriangleup E>0\] for the maximal kinetic energy $E_{kin}$ of the electron, energy $h\nu$ of the photon and ionisation gap $\bigtriangleup E$ is the crucial condition for these single photon terms to be nonzero.

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