# QED corrections to the electromagnetic Abraham force

@article{Tiggelen2012QEDCT, title={QED corrections to the electromagnetic Abraham force}, author={Bart A. van Tiggelen and S{\'e}bastien Kawka and Geert L. J. A. Rikken}, journal={The European Physical Journal D}, year={2012}, volume={66}, pages={1-10} }

AbstractWe 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…

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## References

SHOWING 1-10 OF 29 REFERENCES

### Corrections to the Electromagnetic Abraham Force Casimir Momentum of the Hydrogen atom ?

- Physics
- 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…

### Mechanical forces in a dielectric due to electromagnetic fields

- Physics
- 1977

Experimental evidence is obtained indicating a mechanical force in a dielectric subjected to crossed electric and magnetic fields consistent with the predictions of the Abraham energy momentum…

### Multipole matrix elements for hydrogen atom

- Physics
- 1991

The orthogonality relations of the eigenfunctions in the discrete and continuum states for the hydrogen-like atom are proved. The multipole matrix elements n, l|ra|m, j are given as the analytic…

### Relativistic corrections to S-2 for atomic hydrogen

- Physics
- 1969

It is shown that, to order alpha 2, S-2= Sigma j mod (o mod z mod j) mod 2/Ej- Eo=4.499752 for the dipole sum over Dirac states of the hydrogen atom. This compares with the value 9/2 for the sum over…

### The Electromagnetic shift of energy levels

- Physics
- 1947

B very beautiful experiments, Lamb and Retherford1 have shown that the fine structure of the second quantum state of hydrogen does not agree with the prediction of the Dirac theory. The 2s level,…

### The Influence of Retardation on the London-van der Waals Forces

- Materials Science
- 1948

The influence of retardation on the energy of interaction between two neutral atoms is investigated by means of quantum electrodynamics. As a preliminary step, Part I contains a discussion of the…

### Inertia of Casimir energy

- Physics, Education
- 1993

Moving mirrors are submitted to reaction forces by vacuum fields. The motional force is known to vanish for a single mirror uniformly accelerating in vacuum. We show that inertial forces…