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

DOI

10.2991/jnmp.2004.11.s1.8How to use a DOI?

Abstract

Using the theory of self-adjoint extensions, we study the interaction model formally given by the Hamiltonian H + V (r), where H is the Aharonov-Bohm Hamiltonian and V (r) is the -type interaction potential on the cylinder of radius R . We give the mathematical definition of the model, the self-adjointness of the Hamiltonian and prvide relevant spectral properties, results for resonance effects and stationary scattering characteristics.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Gilbert Honnouvo
AU  - Mahouton Norbert Hounkonnou
AU  - Gabriel Yves Hugues
PY  - 2004
DA  - 2004/10/01
TI  - von Neumann Quantization of Aharonov-Bohm Operator with Interaction: Scattering Theory, Spectral and Resonance Properties
JO  - Journal of Nonlinear Mathematical Physics
SP  - 66
EP  - 71
VL  - 11
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.s1.8
DO  - 10.2991/jnmp.2004.11.s1.8
ID  - Honnouvo2004
ER  -