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Two-Particle System with Harmonic Oscillator Potential in Non-commutative Phase Space

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Abstract

In this paper, we investigate the influence of non-commutativity of both coordinates and momenta on the motion of a two-particle system in the presence of harmonic oscillator potential in plane. We obtain the equations of motion for the center of mass and the reduced mass and show that how they are dependent to the non-commutative parameters. We also show that the non-commutativity can be interpreted as an external force to system. In the limit of commutative phase space (\(\theta \rightarrow 0,\eta \rightarrow 0)\), the results are also agreement with the results of ordinary phase space.

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Acknowledgements

The authors thank the referee for a thorough reading of our manuscript and constructive suggestions.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Guilan, Namjoo Avenue, P.O. Box 413351914, Rasht, Iran

    H. Panahi

  2. Department of Physics, University Campus 2, University of Guilan, Namjoo Avenue, P.O. Box 413351914, Rasht, Iran

    A. A. Safaei & H. Panahi

  3. Faculty of Physics, Shahrood University of Technology, P. O. Box: 3619995161- 316, Shahrood, Iran

    H. Hassanabadi

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  1. A. A. Safaei
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Correspondence to H. Panahi.

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Safaei, A.A., Panahi, H. & Hassanabadi, H. Two-Particle System with Harmonic Oscillator Potential in Non-commutative Phase Space. Few-Body Syst 63, 49 (2022). https://doi.org/10.1007/s00601-022-01747-z

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