On the Aharonov-Bohm Effect
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/9702048,
title = {On the Aharonov-Bohm Effect},
author = {Riccardo Adami and Alessandro Teta},
journal= {arXiv preprint arXiv:quant-ph/9702048},
year = {2007}
}
Comments
15 pages, latex, no figures