论文标题
部分可观测时空混沌系统的无模型预测
Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
论文作者
论文摘要
我们提出了一种新的方法，用于研究在局部费米速度的情况下，在存在局部费米速度下的一类非二维数（1+1）二维的狄拉克·哈密顿式。我们应用众所周知的Nikiforov-Uvarov方法来解决此类系统。我们讨论应用程序并探讨$ \ Mathcal {pt} $ - 对称和非 - $ \ $ \ MATHCAL {pt} $对称类的潜力类别的可解决性。在前一种情况下，我们在存在线性矢量电位的情况下获得了谐波振荡器的解，而在后一种情况下，我们解决了移动的谐波振荡器问题。
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.
