We propose the superintegrable generalization of Smorodinsky–Winternitz system on the N-
dimensional complex Euclidian space which is specified by the presence of constant …

We propose a new superintegrable mechanical system on the complex projective space CP
N involving a potential term together with coupling to a constant magnetic fields. This system …

Based on the systematic Hamiltonian and superfield approaches, we construct the deformed
N= 4, 8 supersymmetric mechanics on Kähler manifolds interacting with a constant magnetic …

We associate with each simple Lie algebra a system of second-order differential equations
invariant under a non-compact real form of the corresponding Lie group. In the limit of a …

Generalizations of oscillator and Coulomb models are discussed via introduction of
holomorphic coordinates. Complex Euclidean analogue of the Smorodinsky-Winternitz …

We propose the superintegrable generalization of Smorodinsky-Winternitz system on the $
N $-dimensional complex Euclidian space which is specified by the presence of constant …

Суперсимметрия занимает исключительно значимое место в современной теоретиче
ской и математической физике, являясь как вероятным свойством предполагаемых …

We explicitly construct the projection map of a fibration of odd-dimensional complex
projective space over quaternionic projective one. Performing a Hamiltonian reduction by U …

We define the Landau problem on two-dimensional surfaces of revolution of the second
order: ellipsoid, hyperboloid and paraboloid. We start form the two-center MICZ-Kepler …

We define the Landau problem on two-dimensional ellipsoid, hyperboloid and paraboloid of
revolution. Starting from the two-center McIntosh–Cisneros–Zwanziger (MICZ)–Kepler …