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

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

2010-11-12

arxiv.org/abs/1011.3038v2

Physics

Mathematical Physics

16 pages, no figures

Scientific paper

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 $1/R^2$, where $R^2$ 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 $\theta$.

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