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A nonrelativistic study of a non-local form of generalized uncertainty principle

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Abstract

We consider the modification of the linear momentum based on the non-locality in generalized uncertainty principle approach. We calculate the deformed commutation relation between position and momentum. Then, we show how this generalization of the commutation relation affects the behavior of the related nonrelativistic system in an exact analytical manner. The extreme values of energy and wave length in terms of Planck scale are calculated and a comparison with present results is made.

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Authors and Affiliations

  1. Department of Physics, University of Guilan, Rasht, Iran

    Seyed Amin Khorram-Hosseini & Hossein Panahi

  2. Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

    Saber Zarrinkamar

Authors
  1. Seyed Amin Khorram-Hosseini
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  2. Hossein Panahi
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  3. Saber Zarrinkamar
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Corresponding author

Correspondence to Hossein Panahi.

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Khorram-Hosseini, S.A., Panahi, H. & Zarrinkamar, S. A nonrelativistic study of a non-local form of generalized uncertainty principle. Eur. Phys. J. Plus 138, 131 (2023). https://doi.org/10.1140/epjp/s13360-023-03728-5

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  • DOI: https://doi.org/10.1140/epjp/s13360-023-03728-5

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