0501026v1

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{field, particle, equation}
{equation, function, exp}
{force, casimir, field}
{time, wave, function}
{level, atom, field}
{cos, sin, state}
{state, states, coherent}
{photon, photons, single}
{energy, gaussian, time}
{wave, scattering, interference}

Classical and quantum radiation reaction for linear acceleration

Atsushi Higuchi, Giles D. R. Martin

abstract: We investigate the effect of radiation reaction on the motion of a wave packet of a charged scalar particle linearly accelerated in quantum electrodynamics. We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Phys.Rev. D 70 (2004) 081701(R) and present similar results in the case of a time-dependent but space-independent potential. In particular, we calculate the expectation value of the position of the charged particle after the acceleration, to first order in the fine structure constant in the $\hbar \to 0$ limit, and find that the change in the expectation value of the position (the position shift) due to radiation reaction agrees exactly with the result obtained using the Lorentz-Dirac force in classical electrodynamics for both potentials. We also point out that the one-loop correction to the potential may contribute to the position change in this limit.

oai_identifier:
oai:arXiv.org:quant-ph/0501026
categories:
quant-ph hep-th
comments:
14 pages, 4 figures, REVTeX. Details and extension of calculations outlined in Phys.Rev. D70 (2004) 081701(R), quant-ph/0407162
doi:
10.1007/s10701-005-6405-0
arxiv_id:
quant-ph/0501026
journal_ref:
Found.Phys. 35 (2005) 1149-1179
created:
2005-01-06

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