Second-order confluent supersymmetric approach to the Dirac equation in the cosmic string spacetime

This work is based on deploying the algorithm of the second-order supersymmetric quantum mechanics to the spin 1 2 particle behavior in a cosmic sting spacetime. The spectral equivalence of the different systems may shed a light on the quantum mechanics for the topological defects. From this point of view, we have obtained the solutions of the new generated potentials which are free of singularities. Moreover, SO ( 2 , 1 ) Lie algebraic approach is constructed for the intertwining relation.