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

H. Fearn
We formally state the connection between the relativistic part of the radiation reaction and the Poynting Robertson force term, \$-Rv/c^2\$, where \$R\$ is power radiated. Then we address the question, does \$[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 \$x\$ and \$p\$ is to hold for an electron under uniform acceleration, consistent with the expectation values of \$x^2\$ and \$p^2\$.
View original: http://arxiv.org/abs/1301.7051