论文标题
在诺伊曼壁的存在下磁量子电流
Magnetic quantum currents in the presence of a Neumann wall
论文作者
论文摘要
我们考虑在半平面上具有恒定横向磁场的Schrödinger操作员,并具有Neumann边界条件。我们研究沿边界流动的低能电流,并在电势扰动下建立了磁性neumann laplacian的极限吸收原理。
We consider the Schrödinger operator with constant transverse magnetic field on a half-plane, endowed with Neumann boundary conditions. We study the low energy currents flowing along the boundary and we establish a Limiting Absorption Principle for the magnetic Neumann Laplacian under perturbation of an electric potential.