Dirac equation on a catenoid bridge: a supersymmetric approach
Mathematical Physics
2022-04-05 v2 High Energy Physics - Theory
math.MP
Abstract
In this paper, we study the Dirac equation for an electron constrained to move on a catenoid surface. We decoupled the two components of the spinor and obtained two Klein-Gordon-like equations. Analytical solutions were obtained using supersymmetric quantum mechanics for two cases, namely, the constant Fermi velocity and the position-dependent Fermi velocity cases.
Cite
@article{arxiv.2107.07627,
title = {Dirac equation on a catenoid bridge: a supersymmetric approach},
author = {Ö. Yeşiltaş and J. Furtado and J. E. G. Silva},
journal= {arXiv preprint arXiv:2107.07627},
year = {2022}
}
Comments
18 pages, 5 figures. Matches version to appear in Eur. Phys. J. Plus