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Basically (2 + 1) dimensional Dirac equation with real deformed Lorentzscalar potential is investi gated in this study. The position dependent Fermivelocity function transforms Dirac Hamiltonian into a Klein-Gordon-likeeffective Hamiltonian system. The complex Hamiltonian and its real energyspectrum and eigenvectors are obtained analytically. Moreover, the Liealgebraic analysis is performed.

The massless Dirac-Weyl equation with deformed extended complex potentials