Perturbation Theory on the Non-Commutative Plane with a Singular Potential

preprint2010arXivOpen access

Abstract

In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to 1/R21/R^2, where R2R^2 is the squared distance to the origin in the noncommutative plane. We find that the spectrum of energies is non analytic in the noncommutativity parameter θθ.

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