Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912669212082176 |
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| author | Alves, Saulo S. Azevedo, Frankbelson dos S. Filgueiras, Cleverson Silva, Edilberto O. |
| author_facet | Alves, Saulo S. Azevedo, Frankbelson dos S. Filgueiras, Cleverson Silva, Edilberto O. |
| contents | This work investigates the motion of a non-relativistic charged particle within the spacetime of a global monopole. We introduce the Schrödinger 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_09429 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime Alves, Saulo S. Azevedo, Frankbelson dos S. Filgueiras, Cleverson Silva, Edilberto O. Quantum Physics Mathematical Physics This work investigates the motion of a non-relativistic charged particle within the spacetime of a global monopole. We introduce the Schrödinger 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. |
| title | Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2306.09429 |