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

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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.
6 pages Latex

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Mathematical Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/213020

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3474
 http://arxiv.org/abs/0812.3474

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arXiv