QED corrections to the electromagnetic Abraham force
Casimir momentum of the hydrogen atom?
1 Université Grenoble 1/CNRS,
LPMMC, Maison des
2 Scuola Normale Superiore, Physics Department, Piazza dei Cavalieri, 7 56126 Pisa, Italy
3 Laboratoire National des Champs Magnétiques Intenses, UPR3228 CNRS/INSA/UJF/UPS, Toulouse and Grenoble, France
a e-mail: Bart.Van-Tiggelen@grenoble.cnrs.fr
Received in final form: 7 August 2012
Published online: 25 October 2012
We develop a QED approach to find the contribution of the quantum vacuum to the electromagnetic Abraham force. Semi-classical theories predict diverging contributions from the quantum vacuum. We show that the divergencies disappear by Kramers-Bethe mass-renormalization. The finite remainder is compared to the relativistic corrections to the Abraham force. This work applies an earlier approach [S. Kawka, B.A. van Tiggelen, Europhys Lett. 89, 11002 (2010)]1, dedicated to the simpler case of a harmonic oscillator, to the Coulomb interaction, which is more realistic in a QED context.
Key words: Atomic Physics
Two errors occur in this work: the atomic Hamiltonian (4) contains an erroneous minus sign in front of ∆m, and equation (6) for the interaction W is evaluated without the factor 1/2 in front of the gauge term B0 × r. Upon restauring these errors, the Casimir momentum proportional to α vanishes, and the α2 term becomes leading. See .
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012