论文标题
任何人和Aharonov-BohmSchrödinger操作员的磁扰动
Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
论文作者
论文摘要
我们研究了在外部磁场存在下在平面上移动的两个人的汉密尔顿人，并确定了相应的Schrödinger操作员的自相关实现的单参数家族。我们还讨论了相关的模型，描述了液位局部aharonov-bohm奇异性中浸入磁场中的量子粒子。对于一类特殊的磁性电位，我们提供了所有可能的自我接合扩展的完整分类。
We study the Hamiltonian describing two anyons moving in a plane in presence of an external magnetic field and identify a one-parameter family of self-adjoint realizations of the corresponding Schrödinger operator. We also discuss the associated model describing a quantum particle immersed in a magnetic field with a local Aharonov-Bohm singularity. For a special class of magnetic potentials, we provide a complete classification of all possible self-adjoint extensions.
