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.