Dirac equation on a catenoid bridge: a supersymmetric approach

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YEŞİLTAŞ Ö., Furtado J., Silva J.

European Physical Journal Plus, cilt.137, sa.4, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1140/epjp/s13360-022-02589-8
  • Dergi Adı: European Physical Journal Plus
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Gazi Üniversitesi Adresli: Evet

Özet

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.