Abstract
A model of the extended classical charged particle is developed further to prove that the electron potential can be expressed as a superposition of null waves. The null waves are solutions of the homogeneous wave equation and are related to some recently discovered types of solutions which are localized and propagate without dispersion. Connections with quantum electrodynamics and the fine structure constant are indicated.
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References
R. G. Beil,Found. Phys. 19, 319 (1989).
R. C. Jennison,Phys. Lett. A 141, 377 (1989).
M. Rambaut and J. P. Vigier,Phys. Lett. A 148, 377 (1990).
B. L. Willis,Phys. Lett. A 155, 351 (1991).
W. T. Grandy, Jr.,Relativistic Quantum Mechanics of Leptons and Fields (Kluwer Academic, Dordrecht, 1991).
J. N. Brittingham,J. Appl. Phys. 54, 1179 (1983).
P. Hillion,J. Math. Phys. 29, 2219 (1988).
P. Hillion,Phys. Rev. A 40, 1194 (1989).
P. Hillion,J. Math. Phys. 31, 3085 (1990).
P. Hillion,Int. J. Theor. Phys. 30, 197 (1991).
A. Sezginer,J. Appl. Phys. 57, 678 (1984).
I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski,J. Math. Phys. 30, 1254 (1989).
E. Heyman, B. Z. Steinberg, and L. B. Felsen,J. Opt. Soc. Am. A 4, 2081 (1987).
R. W. Ziolkowski,J. Math. Phys. 26, 861 (1985).
R. W. Ziolkowski,Phys. Rev. A 39, 2005 (1989).
L. Mackinnon,Lett. Nuovo Cimento 31, 37 (1981).
B. Ritchie,Found. Phys. Lett. 4, 375 (1991).
C. Elbaz,Phys. Lett. A 127, 308 (1988).
M. Molski,J. Phys. A 24, 5063 (1991).
P. A. Hogan and G. F. R. Ellis,Ann. Phys. 195, 293 (1989).
J. L. Synge,Relativity, the Special Theory (North-Holland, Amsterdam, 1972).
W. Pauli,The Theory of Relativity (Dover, New York, 1981).
H. J. Bhabha,Proc. R. Soc. London A 172, 384 (1939).
B. L. Willis,J. Math. Phys. 30, 197 (1989).
B. L. Willis,J. Math. Phys. 32, 1400 (1991).
A. Lozada and P. L. Torres,J. Math. Phys. 30, 345 (1989).
F. Mandl and G. Shaw,Quantum Field Theory (Wiley, New York, 1984).
J. Kevorkian,Partial Differential Equations (Wadsworth & Brooks/Cole, Pacific Grove, California, 1990).
M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions (NBS, Washington, 1964), p. 486.
F. Rohrlich,Classical Charged Particles (Addison-Wesley, Reading, Massachusetts, 1965).
W. T. Grandy, Jr., private communication (1989).
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Beil, R.G. The extended classical charged particle. II. Found Phys 23, 1587–1600 (1993). https://doi.org/10.1007/BF00732366
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DOI: https://doi.org/10.1007/BF00732366