On the description of electrons on a noncommutative plane threaded by a transversal magnetic field

Abstract

In this paper we deal with the quantum-mechanical description of electrons on a noncommutative plane under the influence of a transversal and homogeneous magnetic field. For this purpose the noncommutativity has been implemented by resorting to the quantum Euclidean space relying on the quantum group SOq(N) and to the so-called noncommutative θ-formulation, which is familiar in string theory. Matching conditions have been established and discussed.