Topological effects of a global monopole on a spherical quantum dot

Abstract

We consider a spherical quantum dot described by an attractive short-range potential and search for topological effects of a global monopole on it. The attractive short-range potential is built from the power-exponential potential model in Ciurla et al. (2022 Physica E 15 , 261–268 ( doi:10.1016/S1386-9477(02)00572-6 )), where we focus on a particular case proposed by this quantum dot model. In search of bound states, we deal with s -waves. We thus obtain the energy eigenvalues and discuss the effects of the topology of the global monopole on them. Further, we extend our discussion to the quantum revivals.