Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation
Journal of Mathematical Physics, cilt.59, sa.5, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 59 Sayı: 5
- Basım Tarihi: 2018
- Doi Numarası: 10.1063/1.5022008
- Dergi Adı: Journal of Mathematical Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Kırklareli Üniversitesi Adresli: Evet
Özet
Exact solutions of the Schrödinger equation for two different potentials are presented by using the extended Nikiforov-Uvarov method. The first one is the inverse square root potential which is a long-range potential and the second one is a combination of Coulomb, linear, and harmonic potentials which is often used to describe quarkonium. Eigenstate solutions are obtained in a systematic way without using any ansatz or transformation. Eigenfunctions for considered potentials are given in terms of biconfluent Heun polynomials.