Exact analytical solution of Schrödinger equation for a generalized noncentral potential
European Physical Journal Plus, cilt.137, sa.5, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 137 Sayı: 5
- Basım Tarihi: 2022
- Doi Numarası: 10.1140/epjp/s13360-022-02755-y
- Dergi Adı: European Physical Journal Plus
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
- Kırklareli Üniversitesi Adresli: Evet
Özet
Analytical eigenstate solution of Schrödinger equation for a modified ring-shaped oscillator potential is presented by using extended Nikiforov Uvarov method in cylindrical coordinates. The potential is a generalized form of ring-shaped oscillator potential, double-ring-shaped potential, double-ring-shaped harmonic oscillator potential, some extended class of Smorodinsky-Winternitz potentials, double-ring-shaped Coulomb oscillator potential and anisotropic ring-shaped oscillator potential. Bound-state solutions of the Schrödinger equation are obtained in terms of biconfluent Heun polynomials.