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GUP and its Application to Angular Momentum Algebra

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Abstract

The generalization of the Heisenberg uncertainty principle has been proposed by different theories of quantum gravity. This deformation affects the quantum phenomena. In this work, we consider the modification of the linear momentum based on the non-locality, and by using it, we calculate the deformed commutation relation between position and momentum. Then, we show how this generalization of the commutation relation affects the angular momentum algebra and its spectrum.

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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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Correspondence to Hossein Panahi.

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Khorram-Hosseini, S.A., Panahi, H. & Zarrinkamar, S. GUP and its Application to Angular Momentum Algebra. Int J Theor Phys 59, 2617–2624 (2020). https://doi.org/10.1007/s10773-020-04531-z

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  • DOI: https://doi.org/10.1007/s10773-020-04531-z

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