QED corrections to the electromagnetic Abraham force

  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},
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… 
8 Citations

Two-atom van der Waals forces with one atom excited: The identical-atom limit

We compute the conservative van-der-Waals forces between two atoms, one of which is initially excited, in the limit of identical atoms. Starting with the perturbative calculation of the interaction

Stirring the quantum vacuum: Angular Casimir momentum of a Landau charge

We consider the angular momentum of a charge q rotating in a homogeneous magnetic field and study the role of the electromagnetic quantum vacuum. Its orbital angular momentum is caused by the recoil

Acceleration of an unpolarized proton along a uniform magnetic field: Casimir momentum of leptons

  • M. Donaire
  • Physics
    Journal of High Energy Physics
  • 2019
Abstract It has been recently shown that a chiral molecule accelerates linearly along a spatially uniform magnetic field, as a result of the parity-time symmetry breaking induced in its QED

Generalized Abraham forces on molecules: From classical to quantum

Abraham forces are defined as electromagnetic forces on neutral objects caused by the presence of slow, time-dependent, homogeneous electromagnetic fields. Only a few experimental observations have

Transfer of linear momentum from the quantum vacuum to a magnetochiral molecule

The physical mechanisms which operate in the transfer of momentum from the vacuum to the molecule are explained and it is shown that the variation of the molecular kinetic energy originates from the magnetic energy associated with the vacuum correction to the magnetization of the molecule.

Hamiltonian description of self-consistent wave-particle dynamics in a periodic structure

Conservation of energy and momentum in the classical theory of radiating electrons has been a challenging problem since its inception. We propose a formulation of classical electrodynamics in



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

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

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

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

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

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

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

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