%0 Journal Article
%T Mathematical justification of the Aharonov-Bohm hamiltonian
%A Cesar R. de Oliveira
%A Marciano Pereira
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s10955-008-9631-y
%X 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 $\R^2$ and $\R^3$ spaces.
%U http://arxiv.org/abs/0810.0684v1