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von Neumann Quantization of Aharonov-Bohm Operator with δ Interaction: Scattering Theory, Spectral and Resonance Properties
2004
Journal of Nonlinear Mathematical Physics
Using the theory of self-adjoint extensions, we study the interaction model formally given by the Hamiltonian H α + V (r), where H α is the Aharonov-Bohm Hamiltonian and V (r) is the δ-type interaction potential on the cylinder of radius R . We give the mathematical definition of the model, the self-adjointness of the Hamiltonian and provide relevant spectral properties, results for resonance effects and stationary scattering characteristics.
doi:10.2991/jnmp.2004.11.s1.8
fatcat:ok2rqnrvufhethudcsy2ll6imy