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THE EULER BOUND STATES: 8D QUANTUM OSCILLATOR

Kh. H. Karayan, L. G. Mardoyan, V. M. Ter-Antonyan

International Centre for Advanced Studies, Yerevan State University, Armenia

The problem of eight-dimensional oscillator in the Euler coordinates is analyzed. The spherical and cylindrical bases are constructed, two representations for the coefficients of spherical-cylindrical and cylindrical-spherical interbasis expansion are proved, and the three-term recurrence relations generating a spheroidal basis for the eight-dimensional oscillator are established.


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