Effects of extended uncertainty principle on the relativistic Coulomb potential

B. Hamil; M. Merad; T. Birkandan

doi:10.1142/S0217751X21500184

Effects of extended uncertainty principle on the relativistic Coulomb potential

B. Hamil^*, M. Merad, T. Birkandan

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

Original language	English
Article number	2150018
Journal	International Journal of Modern Physics A
Volume	36
Issue number	3
DOIs	https://doi.org/10.1142/S0217751X21500184
Publication status	Published - 30 Jan 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

(A)dS space
Extended uncertainty principle
minimal uncertainty in momentum
modified commutation relations
relativistic Coulomb potential

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10.1142/S0217751X21500184

Cite this

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title = "Effects of extended uncertainty principle on the relativistic Coulomb potential",

abstract = "The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.",

keywords = "(A)dS space, Extended uncertainty principle, minimal uncertainty in momentum, modified commutation relations, relativistic Coulomb potential",

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AU - Hamil, B.

AU - Merad, M.

AU - Birkandan, T.

PY - 2021/1/30

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N2 - The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

AB - The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

KW - (A)dS space

KW - Extended uncertainty principle

KW - minimal uncertainty in momentum

KW - modified commutation relations

KW - relativistic Coulomb potential

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DO - 10.1142/S0217751X21500184

M3 - Article

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JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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Effects of extended uncertainty principle on the relativistic Coulomb potential

Abstract

Bibliographical note

Keywords

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