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The Hamilton-Jacobi Equation for a Charged Particle in a Combined Gravitational and Electromagnetic Field

Published online by Cambridge University Press:  20 November 2018

D. K. Sen
D. K. Sen*
Affiliation:
University of Toronto
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The equation of motion of a charged particle in a combined gravitational and electromagnetic field is cast in the classical Hamilton-Jacobi form and then applied to the special case of a Schwarzschild metric, leading to the well established equation of planetary motion.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 3 , 01 September 1963 , pp. 351 - 358
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Lichnerowicz, A., Théories relativistes de la gravitation et de l'electromagnetisme, p. 154, (1955). Masson et Cie, Paris.Google Scholar