https://doi.org/10.1140/epjd/s10053-023-00749-8
Regular Article – Atomic Physics
Topological effects of cosmic string on radial eigenvalue solution with Mie-type potential
Department of Physics, University of Science and Technology Meghalaya, 793101, Ri-Bhoi, Meghalaya, India
a faizuddinahmed15@gmail.com, faizuddin@ustm.ac.in
Received:
10
May
2023
Accepted:
18
August
2023
Published online:
2
September
2023
In this contribution, we study the non-relativistic Schrödinger equation with the interaction potential of Mie-type in the background of the topological defects produced by a cosmic string. We determine the radial eigenvalue solution and analyze the effects of the topological defect. It is shown there that the energy levels and wave function of the non-relativistic quantum particles get modified by the topological defect of the geometry compared to the flat space result with this potential. Afterwards, this eigenvalue solution is utilized in some well-known molecular potential models (Kratzer, modified Kratzer, Coulomb potentials), and presents the eigenvalue solutions.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
