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Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity

Rahul Ghosh
摘要
We present a new approach to study a class of non-Hermitian (1+1)-dimensionalDirac Hamiltonian in the presence of local Fermi velocity. We apply the wellknown Nikiforov-Uvarov method to solve such a system. We discuss applicationsand explore the solvability of both $\mathcal{PT}$-symmetric andnon-$\mathcal{PT}$ symmetric classes of potentials. In the former case weobtain the solution of a harmonic oscillator in the presence of a linear vectorpotential while in the latter case we solve the shifted harmonic oscillatorproblem.
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