Dirac equation on a catenoid bridge: a supersymmetric approach

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YEŞİLTAŞ Ö., Furtado J., Silva J.

European Physical Journal Plus, vol.137, no.4, 2022 (SCI-Expanded) identifier identifier


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.