论文标题
磁场消失的两个维度的隧道效应
Tunneling effect in two dimensions with vanishing magnetic fields
论文作者
论文摘要
在本文中,我们考虑了在沿光滑的封闭曲线消失的情况下,在磁场消失的情况下,半古典2D磁性schr {Ö} dinger操作员。假设该曲线具有对称性轴,我们证明发生了半古典隧道。主要结果是表达式前两个特征值和明确的隧道公式的分裂。
In this paper, we consider the semiclassical 2D magnetic Schr{ö}dinger operator in the case where the magnetic field vanishes along a smooth closed curve. Assuming that this curve has an axis of symmetry, we prove that semi-classical tunneling occurs. The main result is an expression the splitting of the first two eigenvalues and an explicit tunneling formula.