Abstract
This chapter is devoted to a development of the theory of a single charged point particle interacting with the classical electromagnetic field—classical electron theory. The formalism developed is used to derive some well known formulae (e.g., the energy radiated by an accelerating electron, the form of the radiation reaction), to analyze some famous problems (e.g., runaway modes, hyperbolic motion), and to discuss the relationship between the conventional electrodynamics of Maxwell and some well-known alternative formalisms (e.g., Feynman-Wheeler electrodynamics.)
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References and Suggested Reading
Key Articles and Reviews
Bloch, F., 1952, Kig. Danske Videnskab Selskab Mat.—Fys. Medd. 27, No. 8.
Dirac, P. A. M., 1938, Proc. R. Soc. (London) A167, 148.
Feynman, R. P., 1948, Phys. Rev. 74, 939.
Fulton, T., and F. Rohrlich, 1960, Ann. Phys. 9, 499.
Lehmann, H., K. Symanzik, and W. Zimmerman, 1955, Nuovo Cimento 1, 205. This is a famous paper on quantum field theory.
Norton, R. E., and W. K. R. Watson, 1959, Phys. Rev. 116, 1597. The model here discussed is quantum mechanical, but this is irrelevant to the first part of the paper.
Pauli, W., and F. Villars, 1949, Rev. Mod. Phys. 21, 434. ( This issue of Review of Modern Physics is in commemoration of the seventieth birthday of Albert Einstein and has articles and papers by many well-known physicists such as R. A. Millikan, L. deBroglie, P. A. M. Dirac, and H. Yukawa.—ed. )
Podolsky, B., and P. Schwed, 1948, Rev. Mod. Phys. 20, 40.
Wheeler, J. A., and R. P. Feynman, 1945, Rev. Mod. Phys., 17, 157.
Wheeler, J. A., and R. P. Feynman, 1949, Rev. Mod. Phys., 21, 425.
Authored Books
Lorentz, H. A., 1952, The Theory of Electrons, edition of 1915 (Dover, New York), Note 6.
Panofsky, W. K. H., and M. Phillips, 1955, Classical Electricity and Magnetism ( Addison-Wesley, Reading).
Thirring, W. E., 1958, Principles of Quantum Electrodynamics ( Academic Press, New York ), App. I I.
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Coleman, S. (1982). Classical Electron Theory from a Modern Standpoint. In: Teplitz, D. (eds) Electromagnetism. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0650-5_6
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DOI: https://doi.org/10.1007/978-1-4757-0650-5_6
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