Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
Mathematical Physics
2015-05-18 v2 math.MP
Abstract
We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT operator, too: on these conditions the bound-state spectra are real and the potentials are reflectionless and conserve unitarity in the scattering process. Absence of reflection makes it meaningful to consider also PT-symmetric potentials that do not vanish asymptotically.
Keywords
Cite
@article{arxiv.1001.2964,
title = {Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation},
author = {Francesco Cannata and Alberto Ventura},
journal= {arXiv preprint arXiv:1001.2964},
year = {2015}
}
Comments
24 pages, to appear in J. Phys. A : Math. Theor; one acknowledgement and one reference added