Ionisation by quantised electromagnetic fields: The photoelectric effect

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 $E_{kin}$ of the electron, energy $h\nu$ of the photon and ionisation gap $△E$ is the crucial condition for these single photon terms to be nonzero.

arXiv comment59 pages, LATEX2E

References in corpus (2)

• Ground States in Non-relativistic Quantum Electrodynamics
• Localization of the number of photons of ground states in nonrelativistic QED

Cited by in corpus (3)

• On the limits of quantum theory: contextuality and the quantum-classical cut
• On the Atomic Photoeffect in Non-relativistic QED
• Thermal Ionization for Short-Range Potentials