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

2010/11/12 by M. Nieto, Nieto, M., P. A. G. Pisani +3
Mathematics · Physics and Astronomy · #46N50 #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #msc:46N50

paper · pdf · doi:10.48550/arxiv.1011.3038

16 pages, no figures

arxiv created 2010/11/16 · arxiv updated 2010/11/17

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/R², where R² 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 θ.

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