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

2008/12/18 by Sunandan Gangopadhyay, Gangopadhyay, Sunandan, F. G. Scholtz +1 · 1 citation
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.0812.3474

openalex publication_date 2008/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Additional degrees of freedom associated with position measurements in non-commutative quantum mechanics

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