Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity induced by strain. In this paper, we study the (semi-classical) dynamics of these particles under such a physical context from an approach of coherent states. For this purpose we use a Landau-like gauge to built Perelomov coherent states by the action of a non-unitary displacement operator \(D(\alpha )\) on the fundamental state of the system. We analyze the time evolution of the probability density and the generalized uncertainty principle as well as the Wigner function for the coherent states. Our results show how x-momentum dependency affects the motion periodicity and the Wigner function shape in phase space.

由于均匀的伪磁场和应变引起的位置相关费米速度，石墨烯中的狄拉克费米子可以实验分散的伪朗道能级。在本文中，我们从相干态的方法研究了这些粒子在这种物理环境下的（半经典）动力学。为此，我们使用类 Landau 规范通过非酉位移算子\(D(\alpha )\)对系统基本状态的作用来构建 Perelomov 相干态。我们分析了概率密度的时间演化和广义不确定性原理以及相干态的 Wigner 函数。我们的结果显示了x动量依赖性如何影响相空间中的运动周期性和 Wigner 函数形状。