Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials

Abstract

In this analysis, we study the quantum motions of a non-relativistic particle confined by the Aharonov-Bohm (AB) flux field with harmonic oscillator plus Mie-type potential in a point-like defect. We determine the eigenvalue solution of the particles analytically and discuss the effects of the topological defect and flux field with this potential. This eigenvalue solution is then used in some diatomic molecular potential models (harmonic oscillator plus Kratzer, modified Kratzer and attractive Coulomb potentials) and presented as the eigenvalue solutions. Afterwards, we consider a general potential form (superposition of pseudoharmonic plus Cornell-type potential) in the quantum system and analyse the effects of various factors on the eigenvalue solution. It is shown that the eigenvalue solutions are modified by the topological defect of a point-like global monopole and flux field compared to the results obtained in the flat space

21 pages, 2 figures, overall presentation improved, accepted for publication in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (https://doi.org/10.1098/rspa.2022.0624)

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Cited by in corpus (3)

• Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
• Impact of global monopole on heavy mesons in hot-dense medium
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry