This website requires JavaScript.

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

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.

Q1论文试图解决什么问题？
Q2这是否是一个新的问题？
Q3这篇文章要验证一个什么科学假设？
0