Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
JOURNAL OF MATHEMATICAL PHYSICS, cilt.52, sa.12, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 12
- Basım Tarihi: 2011
- Doi Numarası: 10.1063/1.3671640
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the nonrelativistic bound state energy spectrum E(n) and the wave functions psi(n)(chi) in terms of the associated Laguerre polynomials in the framework of the Nikiforov-Uvarov method. Under the spin and pseudospin symmetric limits, the analytic eigenvalues and the corresponding two-component upper-and lower-spinors of the Dirac particle are obtained in closed form. (C) 2011 American Institute of Physics. [doi:10.1063/1.3671640]