Generalized quantum isotonic nonlinear oscillator in d dimensions
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.43, sa.46, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 46
- Basım Tarihi: 2010
- Doi Numarası: 10.1088/1751-8113/43/46/465304
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
We present a supersymmetric analysis for the d-dimensional Schrodinger equation with the generalized isotonic nonlinear-oscillator potential V (r) = B(2)/r(2)+omega(2)r(2)+ 2g(r(2) - a(2))/(r(2) + a(2))(2), B >= 0. We show that the eigenequation for this potential is exactly solvable provided g = 2 and (omega a(2))(2) = B(2) + (l + (d - 2)/2)(2). Under these conditions, we obtain explicit formulae for all the energies and normalized bound-state wavefunctions.