In this paper, we compute the diffractive wave propagator of the Aharonov–Bohm effect (Aharonov and Bohm, Phys Rev 115(3):485, 1959) on \({\mathbf {R}}^2\) 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.

中文翻译：

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Aharonov-Bohm Hamiltonian 的衍射

在本文中，我们使用单个螺线管在\({\mathbf {R}}^2\)上计算了 Aharonov–Bohm 效应的衍射波传播器（Aharonov 和 Bohm，Phys Rev 115(3):485, 1959）使用移动螺线管位置的技术。此外，我们计算了相应的衍射系数，它是衍射传播器的主要符号。本文证明了 Aharonov-Bohm Hamiltonian 奇点的传播。