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International Journal of Theoretical Physics

, Volume 58, Issue 6, pp 1791–1802 | Cite as

On the Position Representation of Pedram’s Higher Order GUP

  • Won Sang ChungEmail author
  • Hassan Hassanabadi
Article

Abstract

In this paper we show that the position representation of the higher order generalized uncertainty principle (HGUP) is also well defined without approximation. We find the simpler form of this representation with a help of the signature of the discriminant of the cubic equation. Using this we discuss the HGUP derivative, HGUP exponential and HGUP trigonometric functions and HGUP-corrected Bohr atom model. Finally we discuss the D-dimensional HGUP algebra and compute the cosmological constant.

Keywords

Position representation Higher order generalized uncertainty principle 

Notes

Acknowledgements

The authors acknowledge to the reviewer for his (or her ) helpful comments. This work was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2015R1D1A1A01057792) and by Development Fund Foundation, Gyeongsang National University, 2018.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics and Research Institute of Natural Science, College of Natural ScienceGyeongsang National UniversityJinjuKorea
  2. 2.Faculty of physicsShahrood University of TechnologyShahroodIran

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