论文标题

双层石墨烯中的电子带有磁场,导致形状不变电位

Electron in bilayer graphene with magnetic fields leading to shape invariant potentials

论文作者

C, David J Fernández, M, Juan D García, O-Campa, Daniel

论文摘要

用施加磁场的双层石墨烯中电子的量子行为得到了解决。通过使用二阶超对称量子力学,问题被转化为两个相互交织的一维固定schrödinger方程,其电势必须是形状不变的。对于几个磁场,获得了能量结合态的分析溶液。分析相关的光谱,并确定概率和当前密度。

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schrödinger equations whose potentials are required to be shape invariant. Analytical solutions for the energy bound states are obtained for several magnetic fields. The associated spectrum is analyzed, and the probability and current densities are determined.

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