Dirac equation on a catenoid bridge: a supersymmetric approach

YEŞİLTAŞ, ÖZLEM; Furtado, J.; Silva, J.E.G.

doi:10.1140/epjp/s13360-022-02589-8

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)

Publication Type: Article / Article
Volume: 137 Issue: 4
Publication Date: 2022
Doi Number: 10.1140/epjp/s13360-022-02589-8
Journal Name: European Physical Journal Plus
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
Gazi University Affiliated: Yes

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.