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On the Position Representation of Pedram’s Higher Order GUP

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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.

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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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Authors and Affiliations

  1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea

    Won Sang Chung

  2. Faculty of physics, Shahrood University of Technology, Shahrood, Iran

    Hassan Hassanabadi

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  1. Won Sang Chung
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  2. Hassan Hassanabadi
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Correspondence to Won Sang Chung.

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Chung, W.S., Hassanabadi, H. On the Position Representation of Pedram’s Higher Order GUP. Int J Theor Phys 58, 1791–1802 (2019). https://doi.org/10.1007/s10773-019-04072-0

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