Dirac equation on a catenoid bridge: a supersymmetric approach


Creative Commons License

Yeşiltaş Ö.

European Physical Journal Plus, vol.137, pp.1-12, 2022 (SCI-Expanded)

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 supersymetric quantum mechanics for two cases, namely the constant Fermi velocity and the position-dependent Fermi velocity cases