论文标题
磁性步骤的最低能带函数
Lowest energy band function for magnetic steps
论文作者
论文摘要
我们在平面上使用台阶磁场函数研究schrödinger操作员。其频谱的底部用最低特征值频带函数的最低效果来描述,为此,我们确定了非分类最小值的存在和唯一性。我们讨论了对磁接地态定位特性的曲率影响以及其他应用。
We study the Schrödinger operator in the plane with a step magnetic field function. The bottom of its spectrum is described by the infimum of the lowest eigenvalue band function, for which we establish the existence and uniqueness of the non-degenerate minimum. We discuss the curvature effects on the localization properties of magnetic ground states, among other applications.