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 ℏ→ 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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References
M. Abraham R. Becker (1933) Theorie der Elektrizität Springer Leipzig
H.A. Lorentz (1952) Theory of Electrons Dover New York
P.A.M. Dirac (1938) ArticleTitleClassical theory of radiating electrons Proc. R. Soc. Lond. A167 148 Occurrence Handle1938RSPSA.167..148D
E. Poisson , An introduction to the Lorentz-Dirac equation, ArXiv:gr-qc/9912045.
C. Teitelboim, Splitting of the Maxwell tensor–radiation reaction without advanced fields, Phys. Rev. D 1, 1572 (1970); Splitting of the Maxwell tensor. II. Sources, 3, 297 (1971); Radiation reaction as a retarded self-interaction, 4, 345 (1971).
J.D. Jackson (1975) Classical Electrodynamics Wiley New York
F. Rohrlich (1965) Classical Charged Particles Addison-Wesley Publishing Massachusetts
L.D. Landau E.M. Lifshitz (1962) The Classical Theory of Fields Pergammon Oxford
A. Higuchi, Radiation reaction in quantum mechanics, arXiv:quant-ph/9812036.
A. Higuchi, Radiation reaction in quantum field theory, Phys. Rev. D 66, 105004 (2002); 69, 129903(E) (2004), arXiv:quant-ph/0208017.
A. Higuchi and G. D. R. Martin, Lorentz-Dirac force from QED in linear acceleration, arXiv:quant-ph/0407162, Phys. Rev. D 70, 081701(R) (2004).
E. J. Moniz and D. H. Sharp, Absence of runaways and divergent self-mass in nonrelativistic quantum electrodynamics, Phys. Rev. D 10, 1133, (1974); Radiation reaction in non-relativistic quantum electrodynamics, 15, 2850, (1977).
P.R. Johnson B.L. Hu (2002) ArticleTitleStochastic theory of relativistic particles moving in a quantum field: scalar Abraham-Lorentz-Dirac-Langevin equation, radiation reaction, and vacuum fluctuations Phys. Rev. D 65 065015 Occurrence Handle2002PhRvD..65f5015J
V.S. Krivitskiî V.N. Tsytovich (1991) ArticleTitleAverage radiation-reaction force in quantum electrodynamics Sov. Phys. Usp. 34 250
T.D. Newton E.P. Wigner (1949) ArticleTitleLocalized states for elementary systems Rev. Mod. Phys. 21 400 Occurrence Handle10.1103/RevModPhys.21.400 Occurrence Handle1949RvMP...21..400N
L. P. Horwitz, Time and evolution of states in relativistic classical and quantum mechanics, ArXiv: hep-ph/9606330, IASSNS-HEP-96/59.
R. Shankar (1994) Principles of Quantum Mechanics Plenum New York 435–438
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Higuchi, A., Martin, G.D.R. Classical and Quantum Radiation Reaction for Linear Acceleration. Found Phys 35, 1149–1179 (2005). https://doi.org/10.1007/s10701-005-6405-0
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DOI: https://doi.org/10.1007/s10701-005-6405-0