Spherical quantum dot described by a scalar exponential potential under the influence of a linear scalar potential and a global monopole

Abstract

Abstract Based on the power-exponential potential, we study the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential. We show that the energy eigenvalues s-waves can be obtained from approximate solutions to the Schrödinger equation. Further, we consider the global monopole spacetime and study the topological effects of this spacetime background on the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential.