Theoretical Physics

Electrodynamics in Accelerated Frames

Download PDF (286.7 KB) PP. 166 - 176 Pub. Date: December 1, 2017

DOI: 10.22606/tp.2017.24003

Author(s)

A. Sfarti^*
CS Dept, 387 Soda Hall, UC Berkeley

Abstract

In the current paper we present a generalization of the transforms of the electromagnetic field from the frame co-moving with an accelerated particle into an inertial frame of reference. The solution is of great interest for real time applications, because earth-bound laboratories are inertial only in approximation. We conclude by deriving the general form of the relativistic Doppler effect and of the relativistic aberration formulas for the case of accelerated motion.

Keywords

Accelerated motion, general coordinate transformations, accelerated particles, planar electromagnetic waves, relativistic Doppler effect, relativistic aberration, Bremsstrahlung

References

[1] C. Moller, "The Theory of Relativity," Oxford Press, 1960.

[2] L. H. Thomas, "Motion of the spinning electron," Nature. 117, 1926.

[3] A. Ben-Menahem, "Wigner-s rotation revisited," Am. J. Phys. 53, 1985.

[4] S. Ben-Menahem, "The Thomas precession and velocityspace curvature," J. Math. Phys. 27, 1986.

[5] H. Kroemer, "The Thomas precession factor in spin-orbit interaction," Am J. Physics. 72, 2004.

[6] J. A. Rhodes and M. D. Semon, "Relativistic velocity space, Wigner rotation and Thomas precession," Am. J. Phys. 72, 2005.

[7] G. B. Malykin, "Thomas precession: correct and incorrect solutions," Phys. Usp. 49 (8), 2006.

[8] M. I. Krivoruchenko, "Rotation of the swing plane of Foucault-s pendulum and Thomas spin precession: Two faces of one coin," Phys. Usp., 52. 8, 2009.

[9] A. Sfarti, "Hyperbolic Motion Treatment for Bell's Spaceship Experiment," Fizika A, 18, 2, 2009,

[10] A. Sfarti, "Coordinate Time Hyperbolic Motion for Bell-s Spaceship Experiment," Fizika A, 19, 3, 2010.

[11] A. Sfarti, "Relativity solution for Twin paradox”:a comprehensive solution," IJP, 86, 10, 2012.

[12] A. Sfarti, "Generalization of Coordinate Transformations between Accelerated and Inertial Frames-General Formulas of Thomas Precession," JAPSI. 8, 2, 2017.

[13] A. Sfarti, “Electrodynamics in Accelerated Frames as Viewed from an Inertial Frame,” IJPOT, 3, 1, 2017.

[14] A. Sfarti, “Electrodynamics in Rotating Frames as Viewed from an Inertial Frame,” IJPOT, 3, 1, 2017.

[15] J.D. Jackson, “Classical Electrodynamics,” 3rd edition, Wiley, 1998.

[16] G. Bekefi, “Radiation Processes in Plasmas,” Wiley, 1st edition, 1966.

[17] S. Ichimaru, “Basic Principles of Plasmas Physics: A Statistical Approach,” Benjamin/Cummings Pub. Co., 1973.