The nonrelativistic study of the energy spectrum producing from a central potential in the extended quantum mechanics symmetries: the case of Hulthén potential as a model

Abstract

In our work to this master memory, in theoretical physics(2020/2021), we have studied the Schrödinger equation with the Hulthén potential in noncommutative three dimension spaces and phases, by applying the Boop’s Shift method to the first order of the parameters (Θ,θ̅), in addition to the standard perturbation theory, to obtain the spectrum of energy of the system, which is changing radically, and replaced by degenerate new states which depending on the discrete atomic quantum numbers (j,n,l,s) this result was produced from the spin-orbit interaction. we saw that the Hamiltonian operator of the Hulthén potential in the extended symmetries is the sum of two operators, the first part is the usual ordinary Hamiltonian (ordinary kinetic energy and standard Hulthén potential), while the second is the is spin-orbit interaction.