Solution of the radial Schrodinger equation for the potential family V(r)=(A)/(r2)-(B)(/r)+Cr-kappa using the asymptotic iteration method

Aygun, M.; Bayrak, ORHAN; Boztosun, İSMAİL

doi:10.1088/0953-4075/40/3/009

Solution of the radial Schrodinger equation for the potential family V(r)=(A)/(r2)-(B)(/r)+Cr-kappa using the asymptotic iteration method

Aygun M., Bayrak O., Boztosun I.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, cilt.40, sa.3, ss.537-544, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 40 Sayı: 3
Basım Tarihi: 2007
Doi Numarası: 10.1088/0953-4075/40/3/009
Dergi Adı: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.537-544
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Akdeniz Üniversitesi Adresli: Hayır

Özet

We present the exact and iterative solutions of the radial Schrodinger equation for a class of potentials, V (r) = A/r(2) - B/r+Cr-k, for various values of k from - =2 to 2, for any n and l quantum states by applying the asymptotic iteration method. The global analysis of this potential family by using the asymptotic iterationmethod results in exact analytical solutions for the values of k = 0,- 1 and -2. Nevertheless, there are no analytical solutions for the cases k = 1 and 2. Therefore, the energy eigenvalues are obtained numerically. Our results are in excellent agreement with previous work.