Analytical exact solutions for the Razavy type potential
Mathematical Methods in the Applied Sciences, cilt.43, sa.15, ss.9185-9194, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 15
- Basım Tarihi: 2020
- Doi Numarası: 10.1002/mma.6612
- Dergi Adı: Mathematical Methods in the Applied Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.9185-9194
- Anahtar Kelimeler: confluent Heun equation, extended Nikiforov-Uvarov method, Razavy type potential
- Kırklareli Üniversitesi Adresli: Evet
Özet
A quantum system with Razavy type potential which transforms to single or double well potential according to negative or positive potential parameter k, is solved analytically by using extended form of Nikiforov–Uvarov (NU) method. It is presented that eigenvalue spectra of Schrödinger equation for this potential can be attained analytically by the method. Eigenfunction solutions that are depending on confluent Heun polynomials, are analyzed graphically for specified parameters.