Abstract
It is shown that transformations of the inverse radius-vectors are decomposable into four collections of transformations from the Weyl group. We consider the transformation properties and conformal dimensions of the fields, potentials, and the density of currents and charges of double-charge electrodynamics.
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Literature cited
W. Pauli, Relativitats Theorie, Teubner, Berlin (1921).
V. I. Strazhev and L. M. Tomil'chik, Electrodynamics with a Magnetic Charge [in Russian], Nauka i Tekhnika, Minsk (1975), p. 18.
E. Cunningham, Proc. Lond. Math. Soc.,8, Feb. 11, 77–98 (1909).
H. Bateman, Proc. Land. Math. Soc.,8, March 11, 223–264 (1909).
T. Fulton, F. Rohrlich, and L. Witten, Rev. Mod. Phys.,34, No. 3, 442–457 (1962).
G. Rosen, Am. J. Phys.,40, July, 1023–1027 (1972).
V. I. Fushchich and A. G. Nikitin, Symmetries of the Maxwell Equations [in Russian], Naukova Dumka, Kiev (1983), pp. 65–69.
G. Callegari, P. Fortini, and M. Maccaferri, Nuovo Cim.,92A, No. 2, 201–209 (1986).
G. A. Kotel'nikov, Group-Theoretic Methods in Physics [in Russian], Vol. 2, Nauka, Moscow (1983), pp. 439–449.
C. J. Isham, A. Salam, and J. Strathdee, Phys. Lett.,31B, No. 5, 300–302 (1970).
J. Rosen, Am. J. Phys.,41, No. 4, 586–588 (1973).
N. Cabibbo and E. Ferrari, Nuovo Cim.,23, No. 6, 1147–1154 (1982).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 9–13, May, 1990.
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Kotel'nikov, G.A. Decomposition of transformations of inverse-radius vectors into a collection of transformations from the weyl group. The conformal dimension of the electromagnetic field. Soviet Physics Journal 33, 383–386 (1990). https://doi.org/10.1007/BF00896072
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DOI: https://doi.org/10.1007/BF00896072