Mathematical justification of the Aharonov-Bohm hamiltonian
Mathematical Physics
2008-10-06 v1 math.MP
Spectral Theory
Abstract
It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both and spaces.
Keywords
Cite
@article{arxiv.0810.0684,
title = {Mathematical justification of the Aharonov-Bohm hamiltonian},
author = {Cesar R. de Oliveira and Marciano Pereira},
journal= {arXiv preprint arXiv:0810.0684},
year = {2008}
}
Comments
to be published in Journal of Statistical Physics