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
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 -
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