The bound states of the massless Dirac equation on the torus
Mathematical Physics
2017-07-20 v2 math.MP
Abstract
The Dirac equation on the toroidal surface is studied. The non-constant Fermi velocity functions are used in the Dirac Hamiltonian to get trigonometric Scarf and Rosen-Morse potentials using the method given in [19], then, the exact solutions are written. On the other hand, consecutive mappings are used to get a trigonometric Scarf I-like potential model and the solutions are obtained in the second part of the paper.
Keywords
Cite
@article{arxiv.1611.06555,
title = {The bound states of the massless Dirac equation on the torus},
author = {Özlem Yeşiltaş},
journal= {arXiv preprint arXiv:1611.06555},
year = {2017}
}
Comments
Because of the old-fashion written manuscript, I have updated it and I have written the paper again and I'm submitting the paper today. Thank you in advance