双层石墨烯Jackiw-Pi模型的Ermakov-Lewis方法
An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene
摘要:
在双层石墨烯的上下文中,我们使用Jackiw和Pi的简单规范模型,根据Kravchenko的一般方案,以偏置电势V的幂构造其数值解。接下来,使用这个数值解,我们开发了相同模型的Ermakov-Lewis方法。这导致我们的数值计算的刘易斯-Riesenfeld阶段,可能是即将到来的实验兴趣的双层石墨烯。我们还提出了Ioffe-Korsch非线性达布变换的推广
英文摘要:
In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias potential V according to a general scheme due to Kravchenko. Next, using this numerical solutions, we develop the Ermakov-Lewis approach for the same model. This leads us to numerical calculations of the Lewis-Riesenfeld phases that could be of forthcoming experimental interest for bilayer graphene. We also present a generalization of the Ioffe-Korsch nonlinear Darboux transformation
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