Dirac equation on a catenoid bridge: a supersymmetric approach
Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey
2 Universidade Federal do Cariri(UFCA), Av. Tenente Raimundo Rocha, Cidade Universitária, CEP 63048-080, Juazeiro do Norte, Ceará, Brazil
Accepted: 9 March 2022
Published online: 2 April 2022
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 supersymetric quantum mechanics for two cases, namely the constant Fermi velocity and the position-dependent Fermi velocity cases.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022