Geodesic
Integrable model of a~two-dimensional singular spherical oscillator in
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 131-137

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

We propose an analogue of a two-dimensional singular oscillator (Smorodinsky–Winternitz oscillator) on a sphere, which is exactly solvable in the classical sense both without and with a constant magnetic field. We find the explicit classical solutions.
Keywords: singular oscillator, magnetic field, integrable model. 
@article{TMF_2008_156_1_a6,
     author = {K. S. Aramyan},
     title = {Integrable model of a~two-dimensional singular spherical oscillator in},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {131--137},
     publisher = {mathdoc},
     volume = {156},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a6/}
}
TY  - JOUR
AU  - K. S. Aramyan
TI  - Integrable model of a~two-dimensional singular spherical oscillator in
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 131
EP  - 137
VL  - 156
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a6/
LA  - ru
ID  - TMF_2008_156_1_a6
ER  - 
%0 Journal Article
%A K. S. Aramyan
%T Integrable model of a~two-dimensional singular spherical oscillator in
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 131-137
%V 156
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a6/
%G ru
%F TMF_2008_156_1_a6
K. S. Aramyan. Integrable model of a~two-dimensional singular spherical oscillator in. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 131-137. http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a6/