Abstract
The Coulomb scattering of an electron by a magnetic monopole is analyzed using a lowest-order quantum perturbation approximation suggested by a two-potential Lagrangian form for classical electromagnetism, generalized through the use of spacetime algebra to include magnetic monopoles. Good agreement with existing conventional analyses of this problem is demonstrated.
Similar content being viewed by others
References
D. Fryberger,Found. Phys. 19, 125 (1989);Found. Phys. Lett. 3, 375 (1990).
N. Cabibbo and E. Ferrari,Nuovo Cimento 23, 1147 (1962).
M. A. de Faria-Rosa, E. Recami, and W. A. Rodrigues, Jr.,Phys. Lett. B 173, 233 (1986).
D. Hestenes,Space-Time Algebra (Gordon & Breach, New York, 1966).
J. S. R. Chisholm and R. S. Farwell, “Spin gauge theory of electric and magnetic spinors,” inMathematical Problems in Theoretical Physics, K. Osterwalder, ed. (Springer, Berlin, 1979), pp. 305–307;Proc. Roy. Soc. Lond. A377, 1 (1981).
J. D. Bjorken and S. D. Drell,Relativistic Quantum Mechanics (McGraw-Hill, New York, 1963), p. 282.
Ibid., p. 100et seq.
A. Rabl,Phys. Rev. 179, 1363 (1969); D. Zwanziger,Phys. Rev. D 3, 880 (1971); E. Ferrari, “Formulations of electrodynamics with magnetic monopoles,” inTachyons, Monopoles, and Related Topics, E. Recami, ed. (North-Holland, Amsterdam, 1978), pp. 203–225.
C. R. Hagen,Phys. Rev. 140, B804 (1965); F. Rohrlich,Phys. Rev. 150, 1104 (1966).
I. R. Lapidus and J. L. Pietenpol,Am. J. Phys. 28, 17 (1960).
P. Banderet,Helv. Phys. Acta. 19, 503 (1946); K. W. Ford and J. A. Wheeler,Phys. Rev. 81, 656 (1951);Ann. Phys. 7, 287 (1959).
J. Schwinger, K. A. Milton, Wu-Yang Tsai, L. L. DeRaad, Jr., and D. C. Clark,Ann. Phys. 101, 451 (1976); Y. Kazama, C. N. Yang, and A. S. Goldhaber,Phys. Rev. D 15, 2287 (1977); Y. Kazama,Int. J. Th. Phys. 17, 249 (1978).
J. D. Bjorken and S. D. Drell,op. cit., p. 145.
P. A. M. Dirac,Proc. Roy. Soc. (London) A 133, 60 (1931);Phys. Rev. 74, 817 (1948).
J. Schwinger,Science 165, 757 (1969).
Author information
Authors and Affiliations
Additional information
1. Work supported by Department of Energy contract DE-AC03-76SF00515.
2. The idea to employ spacetime algebra (sometimes called Dirac algebra) to incorporate magnetic monopoles into classical electromagnetic theory was proposed by de Faria-Rosaet al. [3].
3. This is a factori difference between the definition of γ5 by Eq. (3) and that by Bjorken and Drell [6]. Since a cross section (without interference terms) is being calculated, we can ignore this distinction.
Rights and permissions
About this article
Cite this article
Fryberger, D. Coulomb scattering of an electron by a monopole. Found Phys Lett 4, 459–464 (1991). https://doi.org/10.1007/BF00691191
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00691191