Literature Cited
L. S. Pontryagin, Topological Groups, New York (1966).
S. Lie, Theorie der Transformationsgruppen, Teubner, Leipzig, Ab. 1 (1888); Ab. 2 (1890); Ab. 3 (1893).
S. Lie, Math. Ann.,25, 71 (1885).
L. V. Ovsyannikov, Group Properties of Differential Equations [in Russian], Izd. SO Akad. Nauk SSSR, Novosibirsk (1962).
N. Kh. Ibragimov, Group Properties of Various Differential Equations [in Russian], Izd. SO Akad. Nauk SSR, Novosibirsk (1967).
N. Kh. Ibragimov, Lie Groups in Certain Problems of Mathematical Physics [in Russian], Izd. Novosibirskogo Gos. In-ta, Novosibirsk (1972).
S. A. Vladimirov, Dokl. Akad. Nauk USSR, Ser. A,4, 294 (1975).
S. A. Vladimirov, Dokl. Akad. Nauk USSR, Ser. A,5, 394 (1975).
L. V. Ovsyannikov, Dokl. Akad. Nauk SSSR,186, 3 (1969).
R. Courant, Partial Differential Equations [Russian translation], Mir (1964).
B. L. Van der Waerden, Die gruppentheoretische Methode in der Quantenmechanik, Berlin (1932).
H. Weyl, The Classical Groups, their Invariants and Representations, Princeton (1939).
P. A. M. Dirac, Ann. Math.,37, 429 (1936).
Yu. A. Danilov, Teor. Mat. Fiz.,2, 297 (1970).
W. Heisenberg, Einführung in die einheitliche Feldtheorie der Elementarteilchen, S. Hirzel Verlag, Stuttgart (1967).
L. V. Ovsyannikov, Lectures on the Theory of the Group Properties of Differential Equations [in Russian], Izd. Novosibirskogo Gos. In-ta, Novosibirsk (1966).
Additional information
Dnepropetrovsk State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 32, No. 3, pp. 360–372, September, 1977.
Rights and permissions
About this article
Cite this article
Vladimirov, S.A. Symmetry groups of field equations for spin 1/2. Theor Math Phys 32, 794–803 (1977). https://doi.org/10.1007/BF01089563
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01089563