10.30495/JTAP.162233

Non-relativistic particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method

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  • Faizuddin Ahmed*1,
  • Kayser Ahmed1,
  • Akheruzzaman Ahmed1,
  • Ariful Islam1,
  • Bikash Pratim Barman1,
  1. Department of Physics, University of Science and Technology Meghalaya, Ri-Bhoi, Meghalaya-793101, India
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Published in Issue 2023-11-17

How to Cite

1.
Ahmed F, Ahmed K, Ahmed A, Islam A, Barman BP. Non-relativistic particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method. J Theor Appl phys. 2023 Nov. 17;16(4). Available from: https://oiccpress.com/jtap/article/view/1937
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Abstract

In this work, the non-relativistic wave equation via the Schrödinger wave equation under the influence of the Aharonov-Bohm flux field Subject to physical potentials of various kinds is investigated. These potentials are modified Coulomb potential, modified harmonic oscillator potential, the Kratzer-Feus potential, and the Mie-type potential which have wide applications in different branches of physics and chemistry. We solve the Schrodinger wave equation using the Nikiforov-Uvarov (NU) method and obtain the energy profiles and the wave function of the non-relativistic particle, and analyze the effects of potential and the quantum flux on them. We show that each non-relativistic energy level gets modified in comparison to the known results obtained in the literature.

Keywords

  • Bound-states,
  • Geometric quantum phase,
  • Nikiforov-Uvarov method,
  • Potential,
  • Schrodinger wave equation,
  • Solutions of wave equation
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