Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
- URL: http://arxiv.org/abs/2203.00939v2
- Date: Tue, 27 Dec 2022 04:38:53 GMT
- Title: Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
- Authors: Rahul Ghosh
- Abstract summary: 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 discuss applications and explore the solvability of both $mathcalPT$-symmetric and non-$mathcalPT$ symmetric classes of potentials.
- Score: 0.4061135251278187
- License: http://creativecommons.org/licenses/by/4.0/
- 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 $\mathcal{PT}$-symmetric and
non-$\mathcal{PT}$ 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.
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