Geodesic
Quantum-mechanical Goryachev--Chaplygin top in a~strong field
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 296-304

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

It is shown that in a strong field the Goryachev–Chaplygin top behaves like a twodimensional harmonic oscillator with frequency ratio 1:2. Moreover, the second integral of the motion of the top goes over into the separation constant for the 2-oscillator in parabolic coordinates in the momentum space. The diagram correlating the energy levels of the top in the limits of weak and strong fields is found. 
@article{TMF_1982_53_2_a10,
     author = {I. V. Komarov},
     title = {Quantum-mechanical {Goryachev--Chaplygin} top in a~strong field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {296--304},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a10/}
}
TY  - JOUR
AU  - I. V. Komarov
TI  - Quantum-mechanical Goryachev--Chaplygin top in a~strong field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 296
EP  - 304
VL  - 53
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a10/
LA  - ru
ID  - TMF_1982_53_2_a10
ER  - 
%0 Journal Article
%A I. V. Komarov
%T Quantum-mechanical Goryachev--Chaplygin top in a~strong field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 296-304
%V 53
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a10/
%G ru
%F TMF_1982_53_2_a10
I. V. Komarov. Quantum-mechanical Goryachev--Chaplygin top in a~strong field. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 296-304. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a10/