Exact solutions of Schrodinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials

摘要

We calculate exact solutions of the Schrodinger equation for a particle constrained to move along a spherical surface and interacting with non-central potentials, namely, (i) Makarov, (ii) ring-shaped pseudo-harmonic oscillatory, and (iii) Kratzer potentials. We also study exact solutions of the Pauli equation in the same geometrical setting for a charged particle in the presence of a uniform magnetic field. In this case, the two-component spinor can adhere to the surface only if the magnetic field intensity has certain special values. The solutions of Schrodinger equations allow us to obtain exact Pauli spinors and their corresponding energy eigenvalues for the same non-central potentials. Published under license by AIP Publishing.