Diffraction of the Aharonov–Bohm Hamiltonian

@article{Yang2020DiffractionOT,
  title={Diffraction of the Aharonov–Bohm Hamiltonian},
  author={Mengxuan Yang},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
  • Mengxuan Yang
  • Published 2020
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
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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