5 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
It is obtained the -Poincare Casimir from the de Sitter geometry of momentum space and employed as the dynamical constraint governing charged particles within the framework of…
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…