67 citations · 732 across the 44 of their papers we have counts for
42 papers
Canonical representation of the Snyder-de Sitter algebra with correct flat and commutative limits
V. G. Kupriyanov, E. L. F. de Lima
The Snyder--de Sitter algebra provides a Lorentz-covariant deformation of phase-space geometry characterized by a curvature parameter and a noncommutativity parameter . We c…
Curved momentum space and finite Landau spectrum in -Minkowski spacetime
Adrián Huamán Vargas, Vladislav Kupriyanov
We derive the -Poincaré Casimir from the de Sitter geometry of momentum space and employ it as the dynamical constraint governing charged particles within the framework of Poiss…
The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fabio Di Cosmo, Vladislav G. Kupriyanov, Patrizia Vitale
We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in ter…
Symplectic realization of generalized Snyder-Poisson algebra
V. G. Kupriyanov, E. L. F. de Lima
We investigate Snyder space-time and its generalizations, including Yang and Snyder-de-Sitter spaces, which constitute manifestly Lorenz invariant noncommutative geometries. This w…
Charged Particle in Lie-Poisson Electrodynamics
B. S. Basilio, V. G. Kupriyanov, M. A. Kurkov
Lie-Poisson electrodynamics describes the semi-classical limit of non-commutative gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanic…
Classical Mechanics in Noncommutative Spaces: Confinement and More
Vladislav Kupriyanov, Maxim Kurkov, Alexey Sharapov
We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is descri…