Geodesic
Elliptic basis for a circular oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 212-225 
L. G. Mardoyan; G. S. Pogosyan; A. N. Sisakyan; V. M. Ter-Antonyan. Elliptic basis for a circular oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 212-225. http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a5/
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     title = {Elliptic basis for a~circular oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1985},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A complete set of mutually commuting operators determining an elliptic basis for a quantum circular oscillator is obtained. The elliptic basis of the circular oscillator is introduced and three-term recursion relations generating it are found. The elliptic corrections to the polar and Cartesian bases of the circular oscillator are calculated.

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[4] Pogosyan G. S., Ter-Antonyan V. M., TMF, 40:1 (1979), 140–143 | MR

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