Dirac equation on a catenoid bridge: a supersymmetric approach
European Physical Journal Plus, cilt.137, sa.4, 2022 (SCI-Expanded, Scopus)
- 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.