RADIATION DAMPING IN CLASSICAL ELECTRODYNAMICS
Journal Article
·
· Annals of Physics (New York) (U.S.)
The problem of radiation from a charged particle in uniform acceleration is considered. It is shown that, by transforming from an inertial frame to the accelerated frame in which the particle is at rest, the magnetic field, and hence the radiation, is transformed away. Exact solutions of Maxwell's equations in the accelerated frame are obtained. Dirac's classical equations of motion of a charged particle are rederived for the special case of one-dimensional motion. By doing the calculation in the permanent (noninential) rest frame of the charged particle, it is shown that it is not necessary to use advanced flelds as was done by Dirac. The calculation requires no modification of the energy-momentum tensor. The theory still contains a divergent term (as does Dirac's) but in a modified form. A simple solution for one-dimensional motion is considered. By consideration of a case where an electron enters from a region of no field, passes through the region of the field and then again into a region of no field, it is shown that the conventional power radiation formula gives the same answer for the total power radiated as does Dirac's equation. Hyperbolic motion is considered as a limiting case of motion through a finite region of space where there is a uniform electric field. The region where the field is defined is then allowed to become large compared to the electron radius. (auth)
- Research Organization:
- Los Angeles State Coll.
- NSA Number:
- NSA-16-028321
- OSTI ID:
- 4794743
- Journal Information:
- Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 19; ISSN APNYA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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