Remarks on a quantum dot described by scalar exponential potentials

Abstract

Based on the power-exponential potential model for quantum dots, we study the confinement of a particle to a spherical quantum dot from a long-range potential. We show that analytical solutions to the Schrödinger equation can be achieved for s-waves. We also show that the energy levels of the spherical quantum dot are influenced by the topology of a global monopole. Further, we show that a non-null revival time exists and it can be influenced by the global monopole topology.