Geodesic
Spurious terms in the three-body problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 253-271

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

The method of hyperharmonics is used to split the central two-body interactions and the Faddeev components of the wave function in a three-body system into physical and spurious terms. The sum of the physical terms of the interactions or of the Faddeev components for all pairs of particles is nonzero, whereas the sums of spurious terms of both the interactions and the Faddeev components over all pairs of particles vanish identically. We establish a criterion for the existence of spurious terms. We show that a sufficient condition for this criterion is equivalent to the conservation law for a certain quantum number. 
@article{TMF_2000_125_2_a4,
     author = {V. V. Pupyshev},
     title = {Spurious terms in the three-body problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {253--271},
     publisher = {mathdoc},
     volume = {125},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a4/}
}
TY  - JOUR
AU  - V. V. Pupyshev
TI  - Spurious terms in the three-body problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 253
EP  - 271
VL  - 125
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a4/
LA  - ru
ID  - TMF_2000_125_2_a4
ER  - 
%0 Journal Article
%A V. V. Pupyshev
%T Spurious terms in the three-body problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 253-271
%V 125
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a4/
%G ru
%F TMF_2000_125_2_a4
V. V. Pupyshev. Spurious terms in the three-body problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 253-271. http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a4/