具有磁场的双层石墨烯中的电子导致形状不变势
Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
摘要：
研究了双层石墨烯中电子在外加磁场作用下的量子行为。利用二阶超对称量子力学将问题转化为两个相互纠缠的一维定态薛定谔方程，其势函数必须是形状不变的.在几种不同的磁场条件下，得到了能量束缚态的解析解。分析了相关谱，并确定了概率和电流密度。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
