The massless Dirac–Weyl equation with deformed extended complex potentials

Abstract

Basically (2 + 1) dimensional Dirac equation with real deformed Lorentz scalar potential is investigated 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 also performed. keyword: Dirac equation, massless fermion, analytical solutions, Lie algebras PACS: 03.65.Fd, 03.65.Ge, 95.30 Sf