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On the Schott Term in the Lorentz-Abraham-Dirac Equation

Fukuoka Institute of Technology, Wajiro-Higashi, Higashi-ku, Fukuoka 811-0295, Japan
Quantum Beam Sci. 2020, 4(4), 34; https://0-doi-org.brum.beds.ac.uk/10.3390/qubs4040034
Received: 6 August 2020 / Revised: 23 September 2020 / Accepted: 25 September 2020 / Published: 28 September 2020
The equation of motion for a radiating charged particle is known as the Lorentz–Abraham–Dirac (LAD) equation. The radiation reaction force in the LAD equation contains a third time-derivative term, called the Schott term, which leads to a runaway solution and a pre-acceleration solution. Since the Schott energy is the field energy confined to an area close to the particle and reversibly exchanged between particle and fields, the question of how it affects particle motion is of interest. In here we have obtained solutions for the LAD equation with and without the Schott term, and have compared them quantitatively. We have shown that the relative difference between the two solutions is quite small in the classical radiation reaction dominated regime. View Full-Text
Keywords: radiation reaction; Loretnz–Abraham–Dirac equation; schott term radiation reaction; Loretnz–Abraham–Dirac equation; schott term
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MDPI and ACS Style

Nakamura, T. On the Schott Term in the Lorentz-Abraham-Dirac Equation. Quantum Beam Sci. 2020, 4, 34. https://0-doi-org.brum.beds.ac.uk/10.3390/qubs4040034

AMA Style

Nakamura T. On the Schott Term in the Lorentz-Abraham-Dirac Equation. Quantum Beam Science. 2020; 4(4):34. https://0-doi-org.brum.beds.ac.uk/10.3390/qubs4040034

Chicago/Turabian Style

Nakamura, Tatsufumi. 2020. "On the Schott Term in the Lorentz-Abraham-Dirac Equation" Quantum Beam Science 4, no. 4: 34. https://0-doi-org.brum.beds.ac.uk/10.3390/qubs4040034

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