论文标题
Aharonov-Bohm效应的新版本
A new version of the Aharonov-Bohm effect
论文作者
论文摘要
我们提出了一种简单的情况,其中磁性aharonov-bohm电位会影响初始Schrödinger操作员缺乏指数的值,从而确定粒子是否与螺线管相互作用。即使将粒子排除在磁场之外,初始汉密尔顿的自相关扩展的数量也取决于磁通量。这是Aharonov-Bohm效应的新观点。
We propose a simple situation in which the magnetic Aharonov-Bohm potential influences the values of the deficiency indices of the initial Schrödinger operator, so determining whether the particle interacts with the solenoid or not. Even with the particle excluded from the magnetic field, the number of self-adjoint extensions of the initial Hamiltonian depends on the magnetic flux. This is a new point of view of the Aharonov-Bohm effect.