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

• URL: http://arxiv.org/abs/2208.04744v1
• Date: Thu, 4 Aug 2022 04:39:43 GMT
• Title: Non-Relativistic Particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method
• Authors: Faizuddin Ahmed, Kayser Ahmed, Akheruzzaman Ahmed, Ariful Islam, Bikash Pratim Barman
• Abstract summary: We investigate the non-relativistic wave equation via the Schr"odinger wave equation under the influence of the Aharonov-Bohm flux field. We 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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