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

Hamil B., Merad M., Birkandan T.

PHYSICA SCRIPTA, vol.95, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95
  • Publication Date: 2020
  • Doi Number: 10.1088/1402-4896/abb9e4
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Istanbul Technical University Affiliated: Yes


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.