42 citations · 250 across the 15 of their papers we have counts for
15 papers
Zernike system revisited: imaginary gauge and Higgs oscillator
Vahagn Abgaryan, Armen Nersessian, Vahagn Yeghikyan
We analyze that recently proposed clasical/quantum mechanical interpretation of Zernike system and establish its equivalence to the Higgs oscillator on sphere or pseudosphere (Loba…
The Coulomb problem on a 3-sphere and Heun polynomials
Stefano Bellucci, Vahagn Yeghikyan
The paper studies the quantum mechanical Coulomb problem on a 3-sphere. We present a special parametrization of the ellipto-spheroidal coordinate system suitable for the separation…
Isospin particle systems on quaternionic projective spaces
Stefano Bellucci, Sergey Krivonos, Armen Nersessian +1
We construct the isospin particle system on -dimensional quaternionic projective spaces in the presence of BPST-instanton by the reduction from the free particle on -dim…
Action-angle variables for the particle near extreme Kerr throat
Stefano Bellucci, Armen Nersessian, Vahagn Yeghikyan
We construct the action-angle variables for the spherical part of conformal mechanics describing the motion of a particle near extreme Kerr throat. We indicate the existence of the…
Integrable generalizations of oscillator and Coulomb systems via action-angle variables
Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian +2
Oscillator and Coulomb systems on N-dimensional spaces of constant curvature can be generalized by replacing their angular degrees of freedom with a compact integrable (N-1)-dimens…
Reductions related with Hopf maps
Vahagn Yeghikyan
We consider the reductions of -dimensional particle system (), associated with the Hopf map. For the third Hopf map we explicitly construct the functions associated to…