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

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Abstract: In this article we study the problem of a non-relativistic particle in thepresence of a singular potential in the noncommutative plane. The potentialcontains a term proportional to $1-R^2$, where $R^2$ is the squared distance tothe origin in the noncommutative plane. We find that the spectrum of energiesis non analytic in the noncommutativity parameter $\theta$.

Autor: M. Nieto, P.A.G. Pisani, H. Falomir

Fuente: https://arxiv.org/