Pseudo-supersymmetric approach to the Dirac operator in the Schwarzschild spacetime

Yeşiltaş Ö.

CLASSICAL AND QUANTUM GRAVITY, cilt.41, sa.16, ss.165003-165024, 2024 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 16
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1088/1361-6382/ad550c
  • Dergi Adı: CLASSICAL AND QUANTUM GRAVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.165003-165024
  • Gazi Üniversitesi Adresli: Evet

Özet

We have discussed the Dirac equation in Schwarzschild spacetime using pseudo-supersymmetric quantum mechanics and have obtained the partner Hamiltonian of the initial Hamiltonian operator. We demonstrate that the partner metric tensors, corresponding to these Hamiltonians, can be derived using the intertwining relations inherent in pseudo-supersymmetric approaches. We have seen that the Schwarzschild metric may be expanded into Schwarzschild–Tangherlini metric using the aspects of pseudo-supersymmetry. Furthermore, we have derived approximate solutions for the radial component within the framework of N = 2 supersymmetry with the corresponding radial potential graphs presented. Subsequently, our discussion extends to the quasinormal modes, focusing particularly on the asymptotic limits as r approaches ±∞\pm \infty.