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arXiv · 2303.01375

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

Saulo S. Alves·Márcio M. Cunha·Hassan Hassanabadi·Edilberto O. Silva
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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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Saulo S. Alves, Márcio M. Cunha, Hassan Hassanabadi, Edilberto O. Silva. 2023-03-02. Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime. https://arxiv.org/abs/2303.01375

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