  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.
