Abstract
In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-1/2 particle in the presence of the Aharonov-Bohm effect. We employ the method of the self-adjoint extensions in the framework of the Pauli-Schr\"odinger equation. We discuss the role of the spin degree of freedom on this problem, find the energy spectrum, and investigate the results in detail.