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We investigate the most general form of the one-dimensional Dirac Hamiltonian$H_D$ in the presence of scalar and pseudoscalar potentials. To seek embeddingof supersymmetry (SUSY) in it, as an alternative procedure to directlyemploying the intertwining relations, we construct a quasi-Hamiltonian$\mathcal{K}$, defined as the square of $H_D$, to explore the consequences. Weshow that the diagonal elements of $\mathcal{K}$ under a suitable approximationreflects the presence of a superpotential thus proving a useful guide inunveiling the role of SUSY. For illustrative purpose we apply our scheme to thetransformed one-dimensional version of the planar electron Hamiltonian underthe influence of a magnetic field. We generate spectral solutions for a classof isochronous potentials.

Dirac Hamiltonian in a supersymmetric framework