论文标题
Aharonov-bohm哈密顿人的二次形式
Quadratic forms for Aharonov-Bohm Hamiltonians
论文作者
论文摘要
我们考虑一个浸入轴向磁场的带电量子粒子，包括局部Aharonov-bohm奇异性和常规扰动。二次形式技术用于表征降低的二维Schrödinger操作员的不同自我参与实现，包括弗里德里希（Friedrichs Hamiltonian）和一个由$ 2 $ 2 $ hermitian矩阵索引的单数扰动家族。当Aharonov -bohm通量参数归功时，弗里德里奇汉密尔顿的限制以$γ$ - 收敛性讨论为零。
We consider a charged quantum particle immersed in an axial magnetic field, comprising a local Aharonov-Bohm singularity and a regular perturbation. Quadratic form techniques are used to characterize different self-adjoint realizations of the reduced two-dimensional Schrödinger operator, including the Friedrichs Hamiltonian and a family of singular perturbations indexed by $2 \times 2$ Hermitian matrices. The limit of the Friedrichs Hamiltonian when the Aharonov-Bohm flux parameter goes to zero is discussed in terms of $Γ$ - convergence.
