Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

Author:

Alves Saulo S.1ORCID,Cunha Márcio M.2ORCID,Hassanabadi Hassan34ORCID,Silva Edilberto O.1ORCID

Affiliation:

1. Departamento de Física, Universidade Federal do Maranhão, São Luís 65085-580, MA, Brazil

2. Unidade Educacional de Penedo, Campus Arapiraca, Universidade Federal de Alagoas, Av. Beira Rio, s/n—Centro Histórico, Penedo 57200-000, AL, Brazil

3. Faculty of Physics, Shahrood University of Technology, Shahrood P.O. Box 3619995161-316, Iran

4. Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czech Republic

Abstract

In this paper, we studied the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also considered that the electron is influenced by the Hulthén potential. In particular, we dealt with the Schrödinger equation in the presence of a global monopole. We obtained approximate solutions for the problem, determined the scattering phase shift and the S-matrix, and analyzed bound states.

Funder

Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão

National Council for Scientific and Technological Development

Coordenação de Aperfeicoamento de Pessoal de Nível Superior

Publisher

MDPI AG

Subject

General Physics and Astronomy

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