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- Title
Topological effects of cosmic string on radial eigenvalue solution with Mie-type potential.
- Authors
Ahmed, Faizuddin
- Abstract
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. The time-independent Schrodinger wave equation with potential (V (r) = δ r + γ r 2 + V 0) in curved space is described by the wave equation - 1 2 M 1 g ∂ i (g g ij ∂ j) + δ r + γ r 2 + V 0 Ψ = E Ψ .
- Subjects
COSMIC strings; SCHRODINGER equation; EIGENVALUES; COULOMB potential; WAVE functions; WAVE equation
- Publication
European Physical Journal D (EPJ D), 2023, Vol 77, Issue 9, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/s10053-023-00749-8