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Title: Radiation reaction of classical hyperbolic oscillator: Experimental signatures

Abstract

When accelerated by a constant force in the lab frame, a classical charge experiences no self force. In this case, the particle radiates without dissipating its kinetic and potential energy. But what happens when the particle enters another region with equal and opposite acceleration? Does the oscillating charge lose its mechanical energy similar to a radiating dipole, even though it seems to lose no mechanical energy within each region of constant acceleration? Here, I will show how mechanical energy is transferred to radiation energy via the Schott energy when the particle crosses the boundary between the two regions. In particular, I will show how preacceleration, which is usually regarded as an unphysical effect of the Lorentz–Abraham–Dirac self force, is essential for the energy transfer. Moreover, I will show that the commonly adopted Landau–Lifshitz approximation, which removes preacceleration, introduces second-order secular energy error. On a more fundamental level, the validity of classical electrodynamics is in fact questionable because quantum effects are likely important. The classical prediction can be tested experimentally by observing frequency chirping of radiation, whereby micro physics leaves signatures on macroscopic scales. The required experimental accuracy is estimated. Lastly, trap experiments of this type is complementary to collider experimentsmore » that endeavor to observe radiation reaction for elementary particles.« less

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1543074
Report Number(s):
LLNL-JRNL-764637
Journal ID: ISSN 0003-4916; 953454
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 405; Journal Issue: C; Journal ID: ISSN 0003-4916
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Radiation reaction; Classical electrodynamics; Hyperbolic oscillation; Frequency chirp

Citation Formats

Shi, Yuan. Radiation reaction of classical hyperbolic oscillator: Experimental signatures. United States: N. p., 2019. Web. doi:10.1016/j.aop.2019.03.010.
Shi, Yuan. Radiation reaction of classical hyperbolic oscillator: Experimental signatures. United States. doi:10.1016/j.aop.2019.03.010.
Shi, Yuan. Sat . "Radiation reaction of classical hyperbolic oscillator: Experimental signatures". United States. doi:10.1016/j.aop.2019.03.010.
@article{osti_1543074,
title = {Radiation reaction of classical hyperbolic oscillator: Experimental signatures},
author = {Shi, Yuan},
abstractNote = {When accelerated by a constant force in the lab frame, a classical charge experiences no self force. In this case, the particle radiates without dissipating its kinetic and potential energy. But what happens when the particle enters another region with equal and opposite acceleration? Does the oscillating charge lose its mechanical energy similar to a radiating dipole, even though it seems to lose no mechanical energy within each region of constant acceleration? Here, I will show how mechanical energy is transferred to radiation energy via the Schott energy when the particle crosses the boundary between the two regions. In particular, I will show how preacceleration, which is usually regarded as an unphysical effect of the Lorentz–Abraham–Dirac self force, is essential for the energy transfer. Moreover, I will show that the commonly adopted Landau–Lifshitz approximation, which removes preacceleration, introduces second-order secular energy error. On a more fundamental level, the validity of classical electrodynamics is in fact questionable because quantum effects are likely important. The classical prediction can be tested experimentally by observing frequency chirping of radiation, whereby micro physics leaves signatures on macroscopic scales. The required experimental accuracy is estimated. Lastly, trap experiments of this type is complementary to collider experiments that endeavor to observe radiation reaction for elementary particles.},
doi = {10.1016/j.aop.2019.03.010},
journal = {Annals of Physics},
number = C,
volume = 405,
place = {United States},
year = {2019},
month = {3}
}

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This content will become publicly available on March 23, 2020
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