Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials
Turkish Journal of Physics, cilt.43, sa.4, ss.410-416, 2019 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.3906/fiz-1904-28
- Dergi Adı: Turkish Journal of Physics
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.410-416
- Anahtar Kelimeler: D-dimensional Schrodinger equation, extended Nikiforov-Uvarov method, sextic potential, biconfluent Heun polynomials
- Kırklareli Üniversitesi Adresli: Evet
Özet
D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is also presented that the D-dimensional radial SE is transformed to biconfluent Heun equation (BHE). Therefore the eigenfunction solutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existence of polynomial solution of BHE is provided simultaneously.