Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 363-372
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Equations of motion are obtained for a scalar and a spinor field in a four-dimensional non-Euclidean momentum space. They contain as a parameter a fundamental length $l$ and go over into the ordinary Klein–Gordon and Dirac equations in the limit $l\to0$. In the new formalism, an important part is played by the concept of a “vacuum momentum”, which is due to I. E. Tamm. The obtained equations remain invariant under spatial reflection only when the vacuum momentum is simultaneously transformed.
@article{TMF_1979_40_3_a5,
author = {I. P. Volobuev and V. G. Kadyshevskii and M. D. Mateev and R. M. Mir-Kassimov},
title = {Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {363--372},
publisher = {mathdoc},
volume = {40},
number = {3},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a5/}
}
TY - JOUR AU - I. P. Volobuev AU - V. G. Kadyshevskii AU - M. D. Mateev AU - R. M. Mir-Kassimov TI - Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 363 EP - 372 VL - 40 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a5/ LA - ru ID - TMF_1979_40_3_a5 ER -
%0 Journal Article %A I. P. Volobuev %A V. G. Kadyshevskii %A M. D. Mateev %A R. M. Mir-Kassimov %T Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 363-372 %V 40 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a5/ %G ru %F TMF_1979_40_3_a5
I. P. Volobuev; V. G. Kadyshevskii; M. D. Mateev; R. M. Mir-Kassimov. Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 363-372. http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a5/