Abstract
We consider spinor theory within the framework of an inhomogeneous differential forms formalism. We also consider the possibility of describing fermions with the Ivanenko-Landau-Kähler equation. The relations between these two equations are studied.
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References
Bade, W. J., and Jehle, H. (1953).Review of Modern Physics,25, 714.
Banks, T., Dothan, Y., and Horn, D. (1982).Physics Letters B,117, 413.
Becher, P., and Joos, H. (1983).Zeitschrift für Physik C,15, 343.
Benn, J. M., and Tucker, R. W. (1983).Communications in Mathematical Physics,89, 341.
Benn, J. M., and Tucker, R. W. (1985).Communications in Mathematical Physics,98, 53.
Benn, J. M., Dolan, B. P., and Tucker, R. W. (1985).Physics Letters B,150, 100.
Budinich, P., and Bugajska, K. (1985).Journal of Mathematical Physics,26, 588.
Budinich, P., and Trautman, A. (1988).The Spinorial Chessboard, Springer, Berlin.
Bullinaria, J. A. (1986).Annals of Physics,168, 5301.
Cartan, E. (1913).Bulletin Société Mathématique de France,41, 53.
Chevalley, C. (1954).The Algebraic Theory of Spinors, Columbia University Press, New York.
Dirac, P. A. M. (1928).Proceedings of the Royal Society of London A,117, 610.
Fock, V. A., and Ivanenko, D. D. (1929).Comptes Rendus,188, 1470.
Göckeler, M., and Joos, H. (1984). InProgress in Gauge Field Theory, Plenum Press, New York, p. 245.
Graf, W. (1978).Annales de l'Institut Henri Poincaré,29, 85.
Ivanenko, D., and Landau, L. (1928).Zeitschrift für Physik,48, 340.
Ivanenko, D. D., and Obukhov, Yu. N. (1985).Annalen der Physik,42, 59.
Ivanenko, D. D., Obukhov, Yu. N., and Solodukhin, S. N. (1985). On antisymmetric tensor representation of the Dirac equation, preprint IC/85/2, ICTP, Trieste.
Kahler, E. (1962).Rendiconti di Matematica,21, 425.
Leonovich, A. A. (1983).Theoretical and Mathematical Physics,57, 265.
Lounesto, P. (1986). InClifford Algebras and Their Applications in Mathematical Physics, J. S. R, Chisholm and A. K. Common, eds., Reidel, Dordrecht, p. 25.
Penrose, R., and Rindler, W. (1986).Spinors and Space-Time, Cambridge University Press, Cambridge.
Pestov, A. B. (1978).Theoretical and Mathematical Physics,34, 48.
Plebanski, J. (1984).International Journal of Theoretical Physics,23, 895.
Rashevsky, P. K. (1955).Uspekhi Matematicheskikh Nauk,10, 1.
Satikov, I. A., and Stragev, V. I. (1987).Theoretical and Mathematical Physics,73, 16.
Solodukhin, S. N. (1989).Annalen der Physik,46, 439.
Solodukhin, S. N. (1991). String model in differential forms, preprint IC/91/43, ICTP, Trieste.
Witten, E. (1988).Communications in Mathematical Physics,117, 353.
Zhelnorovich, V. A. (1982).Theory of Spinors and Its Applications in Physics and Mechanics, Nauka, Moscow [in Russian].
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Obukhov, Y.N., Solodukhin, S.N. Dirac equation and the Ivanenko-Landau-Kähler equation. Int J Theor Phys 33, 225–245 (1994). https://doi.org/10.1007/BF00844970
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DOI: https://doi.org/10.1007/BF00844970