1997/02/25 by Riccardo Adami, Alessandro Teta
Physics and Astronomy · #quant-ph
published as Lett.Math.Phys. 43 (1998) 43-53 · 15 pages, latex, no figures
arxiv created 1997/02/25 · arxiv updated 2009/12/01
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.