QED Corrections to the Electromagnetic Abraham Force. Casimir Momentum of the Hydrogen atom?
Bart Van Tiggelen (LPMMC), Sebastien Kawka (LPMMC), Geert L.J.A., Rikken (LNCMI, LNCMI)
TL;DR
This paper develops a QED-based method to calculate the quantum vacuum's contribution to the electromagnetic Abraham force, demonstrating divergence removal via mass-renormalization and extending previous harmonic oscillator results to the hydrogen atom.
Contribution
It introduces a QED approach for the Abraham force, generalizes earlier models to hydrogen, and corrects previous errors in the theoretical framework.
Findings
Divergences in quantum vacuum contributions are eliminated by mass-renormalization.
Finite quantum vacuum effects are comparable to relativistic corrections.
The method extends previous harmonic oscillator results to hydrogen atoms.
Abstract
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 generalizes an earlier paper [1], dedicated to the harmonic oscillator, to the hydrogen atom and corrects two subtle errors.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum and Classical Electrodynamics · Advanced Mathematical Theories and Applications