Path integral solution for a Dirac particle in a Generalized Inverse Quadratic Yukawa potential

Abstract

In this work, the analytical solutions of the Dirac equation with the spin and pseudospin symmetry for the Generalized Inverse Quadratic Yukawa (GIQY) potential have been invistigated. the problem was approximately addressed using path integral formalism. We present the energy eigenvalues expression along with the upper and lower radial wave functions for any given k-state. The Schr odinger solutions for the GIQY potential and Dirac's solutions for Kratzer potential, Yukawa potential, inversely quadratic Yukawa potential, and Coulomb potential have also been calculated and compared to results from previous investigations.