Study of a class of non-polynomial oscillator potentials

---

Saad N., Hall R., Ciftci H.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.24, ss.7745-7756, 2006 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 39 Sayı: 24
• Basım Tarihi: 2006
• Doi Numarası: 10.1088/0305-4470/39/24/011
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.7745-7756
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Gazi Üniversitesi Adresli: Evet

Özet

We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N > 1, where V(r) is the nonpolynomial oscillator potential V(r) = r(2) + 1+gr(2)/lambda r(2), lambda is an element of (-infinity,infinity),g > 0. The variational bounds are compared with results previously obtained in the literature. An infinite set of exact solutions is also obtained and used as a source of comparison eigenvalues.