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) …

The local geometry of the parameter space of a quantum system is described by the
quantum metric tensor and the Berry curvature, which are two fundamental objects that play …

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 …

We analyze the periodic motion in the conformal mechanics describing particles moving
near the horizon of extreme Reissner–Nordström and axion–dilaton (Clément–Gal'tsov) …

We construct the isospin particle system on n-dimensional quaternionic projective spaces in
the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the …

In this paper we demonstrate the effectiveness of the action-angle variables in the study of
superintegrable systems. As an example, we construct the spherical and pseu-dospherical …

Quantum problem of electron on a spherical segment is discussed. The confinement
potential of segment is chosen in the form of singular analog of CP1-oscillator. The exact …

-We have suggested using the action-angle variables for the study of a (quasi) particle in
quantum ring. We have presented the action-angle variables for three two-dimensional …

We investigated the comparative field emission from vertically aligned few-layer graphene
and carbon nanotubes. In collaboration with Yerevan State Univ., we studied the fermionic …