264 citations · 1.9k across the 41 of their papers we have counts for
3 papers · 2 filters
Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space
Veronika Galikova, Samuel Kovacik, Peter Presnajder
The main point of this paper is to examine a "hidden" dynamical symmetry connected with the conservation of Laplace-Runge-Lenz vector (LRL) in the hydrogen atom problem solved by m…
The velocity operator in quantum mechanics in noncommutative space
Samuel Kovacik, Peter Presnajder
We tested in the framework of quantum mechanics the consequences of a noncommutative (NC from now on) coordinates. We restricted ourselves to 3D rotationally invariant NC configura…
Coulomb problem in NC quantum mechanics: Exact solution and non-perturbative aspects
Veronika Gáliková, Peter Presnajder
The aim of this paper is to find out how would possible space non-commutativity (NC) alter the QM solution of the Coulomb problem. The NC parameter lambda is to be regarded as a me…