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Generalization of the Larmor radiation formula

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Abstract

The Larmor radiation formula relates the momentum radiated toward infinity along a light cone from a single point charge to the velocity and acceleration of the particle. The formula applies only to a light cone whose apex is on the world line of the particle. This paper generalizes the Larmor formula to an arbitrary light cone. An example involving circular motion is worked.

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References

  • Wald, R. M. (1984).General Relativity, University of Chicago Press, Chicago, p. 432, Eq. (B2.12).

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  • Willis, B. L. (1989).Journal of Mathematical Physics,30, 197.

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Willis, B.L. Generalization of the Larmor radiation formula. Int J Theor Phys 30, 1655–1661 (1991). https://doi.org/10.1007/BF00673641

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  • DOI: https://doi.org/10.1007/BF00673641

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