Exact and approximate bound state solutions of the Schr\"odinger equation with a class of Kratzer-type potentials in the global monopole spacetime

• URL: http://arxiv.org/abs/2306.09429v1
• Date: Thu, 15 Jun 2023 18:21:30 GMT
• Title: Exact and approximate bound state solutions of the Schr\"odinger equation with a class of Kratzer-type potentials in the global monopole spacetime
• Authors: Saulo S. Alves, Frankbelson dos S. Azevedo, Cleverson Filgueiras, Edilberto O. Silva
• Abstract summary: We introduce the Schr"odinger equation to describe the particle's motion with two interactions. The problem's eigenfunctions and eigenvalues are obtained by deriving and solving the radial equation. The screened modified Kratzer potential and the screened self-interaction potential reveal an important role in influencing both the effective potential and the energy spectrum.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This work investigates the motion of a non-relativistic charged particle within the spacetime of a global monopole. We introduce the Schr\"odinger equation to describe the particle's motion with two interactions by considering the Kratzer and the screened modified Kratzer potential. The problem's eigenfunctions and eigenvalues are obtained by deriving and solving the radial equation. The effective potential encompasses both the Kratzer and electrostatic self-interaction potential and leads to bound states solutions. The energy spectrum is investigated, particularly emphasizing its dependence on the system's physical parameters. The screened modified Kratzer potential and the screened self-interaction potential reveal an important role in influencing both the effective potential and the energy spectrum. Additionally, it also accommodates the existence of bound states. All these behaviors are illustrated with graphs and discussed in detail.

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