Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime

• URL: http://arxiv.org/abs/2303.01375v1
• Date: Thu, 2 Mar 2023 16:00:24 GMT
• Title: Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime
• Authors: Saulo S. Alves, M\'arcio M. Cunha, Hassan Hassanabadi, Edilberto O. Silva
• Abstract summary: We study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We deal with the Schr"odinger equation in the presence of a global monopole.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In this paper, we study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also consider that the electron is influenced by the Hulth\'{e}n potential. In particular, we deal with the Schr\"{o}dinger equation in the presence of a global monopole. We obtain approximate solutions for the problem, determine the scattering phase shift and the $S$-matrix, and analyze bound states.

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