Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
arXiv:2203.00939 · doi:10.1142/S0217751X22502220
Abstract
We present a new approach to study a class of non-Hermitian (1+1)-dimensional Dirac Hamiltonian in the presence of local Fermi velocity. We apply the well known Nikiforov-Uvarov method to solve such a system. We discuss applications and explore the solvability of both -symmetric and non- symmetric classes of potentials. In the former case we obtain the solution of a harmonic oscillator in the presence of a linear vector potential while in the latter case we solve the shifted harmonic oscillator problem.
Accepted in International Journal of Modern Physics A (12 pages)