Abstract
A new representation of the electromagnetic field tensor has been found. In this representation it is shown that an intimate relationship exists between electromagnetism and spin; the duality rotation of the “already unified theory” is shown to coincide with the Touschek-Nishijima transformation of the theory of leptons. A nonlinear spinor equation equivalent to Maxwell's equations is deduced.
Similar content being viewed by others
References
Corson, E. M. (1955).Introduction to Tensors, Spinors and Relativistic Wave Equations, Blackie and Son Publisher, London.
Good, Jr., R. H. (1957).Physical Review,105(6), 1914–1919.
Laporte, O., and Uhlenbeck, G. E. (1931).Physical Review,37, 1380–1397.
Messiah, A. (1966a).Quantum Mechanics, Vol. I, John Wiley and Sons, New York.
Messiah, A. (1966b).Quantum Mechanics, Vol. II, John Wiley and Sons, New York.
Misner, C. W., and Wheeler, J. A. (1957).Annals of Physics (New York),2, 525.
Moses, H. E. (1958).Nuovo Cimento Supplement,7, 1–18.
Moses, H. E. (1959).Physical Review,113(6), 1670–1679.
Nishijima, K. (1957).Nuovo Cimento,5, 1349.
Ohmura, T. (1956).Progress in Theoretical Physics,16, 684–685.
Oppenheimer, J. R. (1931).Physical Review,38, 725–746.
Rainich, G. Y. (1925).Transactions of the American Mathematical Society,27, 106.
Touschek, B. F. (1957).Nuovo Cimento,5, 1281.
von Molière, G. (1949).Annalen der Physik (Leipzig),6(6), 146–162.
von Schubert, G. U. (1949).Annalen der Physik (Leipzig),6(6), 163–168.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Campolattaro, A.A. New spinor representation of Maxwell's equations. I. Generalities. Int J Theor Phys 19, 99–126 (1980). https://doi.org/10.1007/BF00669764
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00669764