Dressing the Lorentz Atom

Author:

Barnett Stephen M.1ORCID,Cresser James D.1ORCID,Croke Sarah1ORCID

Affiliation:

1. School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UK

Abstract

We investigate the effects of the electromagnetic vacuum field on a harmonically bound electron. We show that in the electric-dipole approximation the model atom couples only to an effective one-dimensional electric field. In a simplified form, in which the problem is reduced to a single spatial dimension, we determine, analytically, the form of the ground state and discuss the significance of this state.

Funder

Royal Society, UK

Publisher

MDPI AG

Reference53 articles.

1. Schwinger, J. (1958). Selected Papers on Quantum Electrodynamics, Dover Publications, Inc.

2. Feynman, R.P. (1961). Quantum Electrodynamics, W. A. Benjamin, Inc.. Available online: https://archive.org/details/ost-physics-feynman-quantumelectrodynamics/.

3. Milonni, P.W. (1994). The Quantum Vacuum: An Introduction to Quantum Electrodynamics, Academic Press, Inc.

4. Bethe, H.A., and Salpeter, E.E. (1957). Quantum Mechanics of One- and Two-Electron Atoms, Springer.

5. Fine structure of the hydrogen atom by a microwave method;Lamb;Phys. Rev.,1947

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