Abstract:
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.
Citation:
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Elliptic basis for a circular oscillator”, TMF, 65:2 (1985), 212–225; Theoret. and Math. Phys., 65:4 (1985), 1113–1122
This publication is cited in the following 1 articles:
C. Grosche, G. S. Pogosyan, A. N. Sissakian, “Path Integral Discussion for Smorodinsky-Winternitz Potentials: I. Two- and Three Dimensional Euclidean Space”, Fortschr. Phys., 43:6 (1995), 453