Dirac equation on a catenoid bridge: a supersymmetric approach
arXiv:2107.07627
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.
18 pages, 5 figures. Matches version to appear in Eur. Phys. J. Plus