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arXiv · 2208.04744

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

Faizuddin Ahmed·Kayser Ahmed·Akheruzzaman Ahmed·Ariful Islam·Bikash Pratim Barman
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Abstract

In this work, the non-relativistic wave equation via the Schr\"{o}dinger 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.

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Faizuddin Ahmed, Kayser Ahmed, Akheruzzaman Ahmed, Ariful Islam, Bikash Pratim Barman. 2022-08-04. Non-Relativistic Particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method. https://doi.org/10.30495/jtap.162233

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