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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/