Geodesic
Modifications of forms of relativistic dynamics related to the Pomcare transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 3, pp. 346-360

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

Modifications of the forms of dynamics are defined algebraically; the general form of transformations between modifications is found; and all modifications of the point, instant, and front forms of dynamics and their limiting cases are described. It is shown that the limit of the modifications of the instant form – if the limit exists and is nontrivial – is in the general case a quasifront form of dynamics with a $5$-dimensional free subalgebra; in the absence of bound states and for the Bakamjian–Thomas model the limit is the front form of dynamics. 
@article{TMF_1983_54_3_a2,
     author = {S. N. Sokolov},
     title = {Modifications of forms of relativistic dynamics related to the {Pomcare} transformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {346--360},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a2/}
}
TY  - JOUR
AU  - S. N. Sokolov
TI  - Modifications of forms of relativistic dynamics related to the Pomcare transformations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 346
EP  - 360
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a2/
LA  - ru
ID  - TMF_1983_54_3_a2
ER  - 
%0 Journal Article
%A S. N. Sokolov
%T Modifications of forms of relativistic dynamics related to the Pomcare transformations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 346-360
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a2/
%G ru
%F TMF_1983_54_3_a2
S. N. Sokolov. Modifications of forms of relativistic dynamics related to the Pomcare transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 3, pp. 346-360. http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a2/