51 citations · 183 across the 10 of their papers we have counts for
7 papers · 1 filter
Hidden Symmetry of the Yang--Coulomb System
L. G. Mardoyan, A. N. Sissakian, V. M. Ter--Antonyan
The bound system composed of the Yang monopole coupled to a particle of the isospin by the SU(2) and Coulomb interaction is considered. The generalized Runge--Lenz vector and the S…
8D oscillator as a hidden SU(2) - monopole
L. G. Mardoyan, A. N. Sissakian, V. M. Ter-Antonyan
In this report, in the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five-dimensional SU(2)--monopole model is cons…
Park--Tarter Matrix for a Dyon--Dyon System
L. G. Mardoyan, A. N. Sissakian, V. M. Ter-Antonyan
The problem of separation of variables in a dyon--dyon system is discussed. A linear transformation is obtained between fundamental bases of this system. Comparison of the dyon--dy…
Quantization on the Cone and Cyon-Oscillator Duality
A. N. Sissakian, V. M. Ter-Antonyan
It is shown that the three-dimensional isotropic oscillator with coordinates belonging to the two-dimensional half-up cone is dual to the cyon , i.e. the planar particle-vortex bou…
A note on quantum Bohlin transformation
A. Nersessian, V. Ter-Antonyan, M. Tsulaia
It is shown, that the reduction of the circular quantum oscillator by the -group action results to the two systems: a two-dimensional hydrogen atom, and a ``charge - charged m…
Oscillator as a hidden non-Abelian monopole
L. G. Mardoyan, A. N. Sissakian, V. M. Ter-Antonyan
A non--Abelian model is constructed for a five--dimensional bound system "charge--dyon" on the basis of the Hurwitz--transformed eight--dimensional isotropic quantum oscill…