Diffraction of the Aharonov-Bohm Hamiltonian

被引：4
|
作者：
Yang, Mengxuan [1 ]
机构：
[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
来源：
ANNALES HENRI POINCARE | 2021年 / 22卷 / 11期
关键词：
SCHRODINGER-OPERATORS; MAGNETIC-FIELDS; SCATTERING; POTENTIALS;
D O I：
10.1007/s00023-021-01069-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect (Aharonov and Bohm, Phys Rev 115(3):485, 1959) on R-2 with a single solenoid using a technique of moving solenoid location. In addition, we compute the corresponding diffraction coefficient which is the principal symbol of the diffractive propagator. This paper proves the propagation of singularities of the Aharonov-Bohm Hamiltonian.
引用
收藏
页码：3619 / 3640
页数：22
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