264 citations · 1.9k across the 41 of their papers we have counts for
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math-ph2013★ 39 cited
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…
math-ph2013★ 27 cited
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…
math-ph2013★ 5 cited
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…