mp_arc abstract

Below is the ascii version of the abstract for 08-174. The html version should be ready soon.

Cesar R. de Oliveira, Marciano Pereira
Mathematical justiﬁcation of the Aharonov-Bohm hamiltonian 
(222K, pdf)

ABSTRACT.  It is presented, in the framework of nonrelativistic quantum me- 
chanics, a justiﬁcation of the usual Aharonov-Bohm hamiltonian (with 
solenoid of radius greater than zero). This is obtained by way of in- 
creasing sequences of ﬁnitely long solenoids together with a natural 
impermeability procedure; further, both limits commute. Such rigor- 
ous limits are in the strong resolvent sense and in both $R^2$ and $R^3$ 
spaces.