论文标题
有吸引力的磁边的有效操作员
Effective operators on an attractive magnetic edge
论文作者
论文摘要
在二维中考虑了具有不连续磁场的半经典拉普拉斯。磁场正恰好有两个不同的值变化，并且沿着光滑的封闭曲线不连续，从而产生了吸引人的磁边。通过涉及微局部空间空间定位的维数减小，建立了各种精确的光谱渐近学，从而可以应对该场的不连续性。
The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.
