**
Below is the ascii version of the abstract for 97-37.
The html version should be ready soon.**R. Adami, A. Teta
On the Aharonov-Bohm Hamiltonian
(31K, LaTex)
ABSTRACT. Using the theory of self-adjoint extensions, we construct all
the possible hamiltonians describing the non relativistic Aharonov-Bohm
effect. In general the resulting hamiltonians are not rotationally
invariant so that the angular momentum is not a constant of
motion. Using an explicit formula for the resolvent, we describe the
spectrum and compute the generalized eigenfunctions and the scattering
amplitude.