Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 246-249
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The generalised Jacobi coordinates for the non-relativistic three-body system with different masses are introduced. These coordinates make it possible to eliminate the centre of mass motion of the system in such a way that the remaining part of the hamiltonian (in the classical as well as quantum-mechanical case) is symmetric with respect to permutations of all three particles.
@article{TMF_1977_31_2_a10,
     author = {I. Lukach},
     title = {Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--249},
     year = {1977},
     volume = {31},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/}
}
TY  - JOUR
AU  - I. Lukach
TI  - Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 246
EP  - 249
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/
LA  - ru
ID  - TMF_1977_31_2_a10
ER  - 
%0 Journal Article
%A I. Lukach
%T Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 246-249
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/
%G ru
%F TMF_1977_31_2_a10
I. Lukach. Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 246-249. http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/

[1] C. G. Jacobi, Journal für die reine und angewandte Mathematik, 26 (1843), 115 | DOI | MR | Zbl

[2] M. Allegret, Journal de Mathématiques Pures et Appliquées, ser. 1, 1875, 277 | Zbl

[3] L. A. Pars, Analiticheskaya dinamika, «Nauka», 1971 | MR

[4] N. Mott, G. Messi, Teoriya atomnykh stolknovenii, «Mir», 1969, str. 366

[5] I. Lukach, Preprint OIYaI R2-9928, Dubna, 1976 | Zbl

[6] I. Lukač, Nucl. Phys., 1977 (to appear)

[7] I. Lukach, L. Totkh, YaF, 17 (1973), 1337

[8] I. Lukach, YaF, 18 (1973), 202