An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials

Creative Commons License

AKÇAY H., Sever R.

PHYSICA SCRIPTA, cilt.89, sa.1, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1088/0031-8949/89/01/015003
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.