Free particle on noncommutative plane -- a coherent state path integral approach

Details Free particle on noncommutative plane -- a coherent state path integral approach Free particle on noncommutative plane -- a coherent state path integral approach

2008-12-18

arxiv.org/abs/0812.3474v1

Physics

Mathematical Physics

6 pages Latex

Scientific paper

We formulate the coherent state path integral on a two dimensional noncommutative plane using the fact that noncommuative quantum mechanics can be viewed as a quantum system on the Hilbert space of Hilbert-Schmidt operators acting on noncommutative configuration space. The propagation kernel for the free particle shows ultra-violet cutoff which agrees with the earlier investigations made in the literature but the approach differs substantially from the earlier studies.

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