17 citations · 60 across the 8 of their papers we have counts for
8 papers
Noncompact as a phase space of superintegrable systems
Erik Khastyan, Armen Nersessian, Hovhannes Shmavonyan
We propose the description of superintegrable models with dynamical symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms o…
Symmetries of deformed supersymmetric mechanics on Kähler manifolds
Evgeny Ivanov, Armen Nersessian, Stepan Sidorov +1
Based on the systematic Hamiltonian and superfield approaches we construct the deformed supersymmetric mechanics on Kähler manifolds interacting with constant mag…
Geometry and integrability in supersymmetric mechanics
Sergey Krivonos, Armen Nersessian, Hovhannes Shmavonyan
We construct the supersymmetric mechanics with potential term whose configuration space is the special Kähler manifold of rigid type and show that it can be viewed…
Superintegrable deformations of oscillator and Coulomb systems
Hovhannes Shmavonyan
Generalizations of oscillator and Coulomb models are discussed via introduction of holomorphic coordinates. Complex Euclidean analogue of the Smorodinsky-Winternitz system is intro…
-Rosochatius system, superintegrability, supersymmetry
Evgeny Ivanov, Armen Nersessian, Hovhannes Shmavonyan
We propose new superintegrable mechanical system on the complex projective space involving a potential term together with coupling to a constant magnetic fields. Th…
-Smorodinsky-Winternitz system in a constant magnetic field
Hovhannes Shmavonyan
We propose the superintegrable generalization of Smorodinsky-Winternitz system on the -dimensional complex Euclidian space which is specified by the presence of constant magneti…
Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"
Tigran Hakobyan, Armen Nersessian, Hovhannes Shmavonyan
We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyp…
Lobachevsky geometry in TTW and PW systems
Tigran Hakobyan, Armen Nersessian, Hovhannes Shmavonyan
We review the classical properties of Tremblay-Turbiner-Winternitz and Post-Wintenitz systems and their relation with N-dimensional rational Calogero model with oscillator and Coul…