The massless Dirac-Weyl equation with deformed extended complex potentials

Abstract

Basically (2 + 1) dimensional Dirac equation with real deformed Lorentz scalar potential is investi gated in this study. The position dependent Fermi velocity function transforms Dirac Hamiltonian into a Klein-Gordon-like effective Hamiltonian system. The complex Hamiltonian and its real energy spectrum and eigenvectors are obtained analytically. Moreover, the Lie algebraic analysis is performed.

7pages, to be published in Canadian Journal of Physics in the special issue: Turkish Physical Society 32nd International Physics Congress (TPS32) : 6-9 September 2016, Bodrum, Turkey

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