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Diffraction and Scattering Theory of the Aharonov-Bohm Hamiltonian

Description:

This dissertation provides an introduction to the diffraction and scattering theory for the Aharonov--Bohm Hamiltonian with one or multiple poles on $\mathbf{R}^2$. It shows the propagation of diffractive singularities of the wave equation with the magnetic Hamiltonians with singular vector potential, which is related to the so-called Aharonov--Bohm effect. Based...

Keyword:

Scattering, Wave Trace, Resonance, Diffraction, Aharonov-Bohm, and Resolvent

Subject:

Mathematics

Creator:

Yang, Mengxuan

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

06/22/2022

Date Created:

2022-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16059 and etdadmin_upload_901993