Bound-state solutions of the two-dimensional Dirac equation with Aharonov–Bohm-Coulomb interaction in the presence of extended uncertainty principle

B. Hamil; M. Merad; T. Birkandan

doi:10.1088/1402-4896/abb9e4

Bound-state solutions of the two-dimensional Dirac equation with Aharonov–Bohm-Coulomb interaction in the presence of extended uncertainty principle

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

^*Corresponding author for this work

Department of Physics Engineering

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

2 Citations (Scopus)

Abstract

The Dirac equation in the presence of Aharonov–Bohm-Coulomb interaction is studied in the framework of the extended uncertainty principle. The equation governing the dynamics of the system is reduced to a differential equation which is solved in terms of the hypergeometric functions as the wave functions of the system. Expressions for the bound-state energies are also obtained analytically. A brief graphical evaluation of our results is also presented.

Original language	English
Article number	105307
Journal	Physica Scripta
Volume	95
Issue number	10
DOIs	https://doi.org/10.1088/1402-4896/abb9e4
Publication status	Published - Oct 2020

Bibliographical note

Publisher Copyright:
© 2020 IOP Publishing Ltd Printed in the UK

Keywords

(A)dS space
Aharonov–Bohm-Coulomb interaction
Extended uncertainty principle
Modified commutation relations

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10.1088/1402-4896/abb9e4

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title = "Bound-state solutions of the two-dimensional Dirac equation with Aharonov–Bohm-Coulomb interaction in the presence of extended uncertainty principle",

abstract = "The Dirac equation in the presence of Aharonov–Bohm-Coulomb interaction is studied in the framework of the extended uncertainty principle. The equation governing the dynamics of the system is reduced to a differential equation which is solved in terms of the hypergeometric functions as the wave functions of the system. Expressions for the bound-state energies are also obtained analytically. A brief graphical evaluation of our results is also presented.",

keywords = "(A)dS space, Aharonov–Bohm-Coulomb interaction, Extended uncertainty principle, Modified commutation relations",

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PY - 2020/10

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N2 - The Dirac equation in the presence of Aharonov–Bohm-Coulomb interaction is studied in the framework of the extended uncertainty principle. The equation governing the dynamics of the system is reduced to a differential equation which is solved in terms of the hypergeometric functions as the wave functions of the system. Expressions for the bound-state energies are also obtained analytically. A brief graphical evaluation of our results is also presented.

AB - The Dirac equation in the presence of Aharonov–Bohm-Coulomb interaction is studied in the framework of the extended uncertainty principle. The equation governing the dynamics of the system is reduced to a differential equation which is solved in terms of the hypergeometric functions as the wave functions of the system. Expressions for the bound-state energies are also obtained analytically. A brief graphical evaluation of our results is also presented.

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KW - Modified commutation relations

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Bound-state solutions of the two-dimensional Dirac equation with Aharonov–Bohm-Coulomb interaction in the presence of extended uncertainty principle

Abstract

Bibliographical note

Keywords

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