Dirac equation with a modified double ring shaped generalized Cornell potential: Extended Nikiforov-Uvarov method

Karayer H., Kamberli A. K., YEŞİLTAŞ Ö., Demirhan D.

International Journal of Modern Physics A, cilt.40, sa.5, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0217751x25500046
  • Dergi Adı: International Journal of Modern Physics A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Environment Index, INSPEC, zbMATH
  • Anahtar Kelimeler: cornell potential, Dirac equation, Extended Nikiforov-Uvarov method
  • Gazi Üniversitesi Adresli: Evet

Özet

The study reports on the attainment of bound state solutions and the associated relativistic energy eigenvalues of the Dirac equation in the presence of a modified double ring shaped generalized Cornell potential. This is accomplished by using the extended Nikiforov-Uvarov method, which prioritizes the elimination of complexities in determining ansatzs or employing series expansions. In particular, the wave functions are expressed in terms of Heun type polynomials.