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arXiv 2008.041292020-08math.APmath-phmath.MP

Diffraction of the Aharonov-Bohm Hamiltonian

Mengxuan Yang

备注：: This is a pre-published version. The published version is available at https://rdcu.be/clTMj
发表信息：: Ann. Henri Poincaré (2021)
DOI：: 10.1007/s00023-021-01069-6

英文摘要：

In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect 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 gives the first proof of propagation of singularities of the Aharonov-Bohm Hamiltonian.

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