Classical and quantum radiation reaction for linear acceleration

A Higuchi; G D R Martin

doi:10.1007/s10701-005-6405-0

Classical and quantum radiation reaction for linear acceleration

A Higuchi, G D R Martin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 (QED). We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Higuchi and Martin 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 (h) over bar -> 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.

Original language	English
Pages (from-to)	1149-1179
Number of pages	31
Journal	Foundations of Physics
Volume	35
Issue number	7
DOIs	https://doi.org/10.1007/s10701-005-6405-0
Publication status	Published - Jul 2005

Keywords

radiation reaction
quantum electrodynamics
Lorentz-Dirac
semiclassical approximation
MAXWELL TENSOR
ELECTRODYNAMICS

Access to Document

10.1007/s10701-005-6405-0

Cite this

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title = "Classical and quantum radiation reaction for linear acceleration",

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 (QED). We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Higuchi and Martin 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 (h) over bar -> 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.",

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T1 - Classical and quantum radiation reaction for linear acceleration

AU - Higuchi, A

AU - Martin, G D R

PY - 2005/7

Y1 - 2005/7

N2 - We investigate the effect of radiation reaction on the motion of a wave packet of a charged scalar particle linearly accelerated in quantum electrodynamics (QED). We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Higuchi and Martin 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 (h) over bar -> 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.

AB - We investigate the effect of radiation reaction on the motion of a wave packet of a charged scalar particle linearly accelerated in quantum electrodynamics (QED). We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Higuchi and Martin 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 (h) over bar -> 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.

KW - radiation reaction

KW - quantum electrodynamics

KW - Lorentz-Dirac

KW - semiclassical approximation

KW - MAXWELL TENSOR

KW - ELECTRODYNAMICS

U2 - 10.1007/s10701-005-6405-0

DO - 10.1007/s10701-005-6405-0

M3 - Article

SN - 0015-9018

VL - 35

SP - 1149

EP - 1179

JO - Foundations of Physics

JF - Foundations of Physics

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