51 citations · 183 across the 10 of their papers we have counts for
10 papers
Quantum Systems with Hidden Symmetry. Interbasis Expansions
L. G. Mardoyan, G. S. Pogosyan, A. N. Sissakian +1
This monograph is the English version of the book "Quantum systems with hidden symmetry. Interbasis expansions" published in 2006 by the publishing house FIZMATLIT (Moscow) in Russ…
Dyon-Oscillator Duality
V. Ter-Antonyan
The dyon-oscillator duality presented in this lecture can be treated as a prototype of the Seiberg-Witten duality in nonrelativistic quantum mechanics. The key statement declares t…
Quantum oscillator as 1D anyon
Ye. Hakobyan, V. Ter-Antonyan
It is shown that in one spatial dimension the quantum oscillator is dual to the charged particle situated in the field described by the superposition of Coulomb and Calogero-Suther…
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…