Abstract
The quantum theory of free fields is used with Noether's theorem to discuss the polarization features of vector and spinor fields in the QHGRE (generalized de Broglie group) from the viewpoint of local isomorphism of the QHGRE for the product of two ordinary groups (the groups of x α , t deformations and rotations). Estimates are made of the contributions to the polarization tensors for the corresponding fields. In both cases the spin tensors are induced by space and time generators of the generalized de Broglie group, and the rotational component of the QHGRE is responsible for the spin properties.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields [in Russian], GITTL, Moscow (1957).
V. V. Yudin and A. D. Ershov, Izv. Vuzov. Fizika (1969).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, Vol. 12, No. 1, pp. 32–36, January, 1969.
We are indebted to D. D. Ivanenko for discussion of these topics.
Rights and permissions
About this article
Cite this article
Yudin, V.V., Ershov, A.D. Noether's theorem on a quasistochastic half-group of relativistic endomorphisms (QHGRE). Soviet Physics Journal 12, 20–23 (1969). https://doi.org/10.1007/BF00815510
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00815510