von Neumann Quantization of Aharonov-Bohm Operator with δ Interaction: Scattering Theory, Spectral and Resonance Properties

Gilbert Honnouvo, Mahouton Norbert Hounkonnou, Gabriel Yves Hugues Avossevou
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