English

On radiation reaction and the [x,p ] commutator for an accelerating charge

Quantum Physics 2013-01-30 v1 Mathematical Physics math.MP

Abstract

We formally state the connection between the relativistic part of the radiation reaction and the Poynting Robertson force term, Rv/c2-Rv/c^2, where RR is power radiated. Then we address the question, does [x,p]=i\hb[x,p]=i \hb for an accelerating charge ? The full radiation reaction term is used, which includes the relativistic term (von Laue vector.). We show that the full relativistic radiation reaction term must be taken into account if a commutation relation between xx and pp is to hold for an electron under uniform acceleration, consistent with the expectation values of x2x^2 and p2p^2.

Keywords

Cite

@article{arxiv.1301.7051,
  title  = {On radiation reaction and the [x,p ] commutator for an accelerating charge},
  author = {H. Fearn},
  journal= {arXiv preprint arXiv:1301.7051},
  year   = {2013}
}

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8 pages, 0 figures