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arXiv · hep-th/0112025

Deformed Chern-Simons interaction for nonrelativistic point particles

P. C. Stichel
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Abstract

We deform the interaction between nonrelativistic point particles on a plane and a Chern-Simons field to obtain an action invariant with respect to time-dependent area-preserving diffeomorphisms. The deformed and undeformed Lagrangians are connected by a point transformation leading to a classical Seiberg-Witten map between the corresponding gauge fields. The Schroedinger equation derived by means of Moyal-Weyl quantization from the effective two-particle interaction exhibits - a singular metric, leading to a splitting of the plane into an interior (bag-) and an exterior region, - a singular potential (quantum correction) with singularities located at the origin and at the edge of the bag. We list some properties of the solutions of the radial Schroedinger equation.

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P. C. Stichel. 2001-12-12. Deformed Chern-Simons interaction for nonrelativistic point particles. https://doi.org/10.1016/s0370-2693(01)01509-x

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