2 papers
math-ph2026
Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid
Levon Mardoyan, Armen Nersessian
We propose analogs of the generalized MICZ-Kepler system on the three-dimensional sphere and the two-sheet hyperboloid. We construct their energy spectra and normalized wave functi…
math-ph2024
Superintegrability and Coulomb-Oscillator Duality
Levon G. Mardoyan
This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transforma…