Exact solutions of Pauli oscillator with Snyder–de Sitter algebra

Abstract

In this work, we study an explicit calculation of the deformed Pauli–Schrödinger oscillator for nonrelativistic charged spin 1/2 particle in momentum space with Snyder–de Sitter model, where the energy eigenvalues are given in their exact forms, and the corresponding radial wave functions are expressed in associated Jacobi polynomials. We have also studied the effect of the spatial deformation parameter on the bound states of our system.