Elliptic basis for a~circular oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 212-225
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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.
@article{TMF_1985_65_2_a5,
author = {L. G. Mardoyan and G. S. Pogosyan and A. N. Sisakyan and V. M. Ter-Antonyan},
title = {Elliptic basis for a~circular oscillator},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {212--225},
publisher = {mathdoc},
volume = {65},
number = {2},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a5/}
}
TY - JOUR AU - L. G. Mardoyan AU - G. S. Pogosyan AU - A. N. Sisakyan AU - V. M. Ter-Antonyan TI - Elliptic basis for a~circular oscillator JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 212 EP - 225 VL - 65 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a5/ LA - ru ID - TMF_1985_65_2_a5 ER -
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/