The Strong Levinson Theorem for the Dirac Equation
Quantum Physics
2009-11-10 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the Dirac equation in one space dimension in the presence of a symmetric potential well. We connect the scattering phase shifts at E=+m and E=-m to the number of states that have left the positive energy continuum or joined the negative energy continuum respectively as the potential is turned on from zero.
Cite
@article{arxiv.quant-ph/0411026,
title = {The Strong Levinson Theorem for the Dirac Equation},
author = {Alex Calogeracos and Norman Dombey},
journal= {arXiv preprint arXiv:quant-ph/0411026},
year = {2009}
}
Comments
Submitted to Physical Review Letters