An alternative accurate solution of the exponential cosine screened Coulomb potential

Bayrak O., Boztosun I.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.18, sa.9, ss.1443-1451, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 9
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1142/s0129183107011455
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1443-1451
  • Anahtar Kelimeler: asymptotic iteration method, bound states, eigenvalues, exponential cosine, screened Coulomb potential, ASYMPTOTIC ITERATION METHOD, L-STATE SOLUTIONS, PERTURBATION-THEORY, OSCILLATOR-STRENGTHS, HYPERVIRIAL THEOREMS, ENERGIES
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, we show an alternative and accurate solution of the radial Schrodinger equation for the exponential cosine screened Coulomb potential within the framework of the asymptotic iteration method. Unlike other methods, which require approximations for the centrifugal or exponential terms, we show that it is possible to solve the full potential without making any approximations within the framework of this method. The bound state energy eigenvalues are obtained for any n and l values and the results are compared with the findings of different methods for several screening parameters. Moreover, we study the screening parameter delta = 0 case to obtain the energy eigenvalues and corresponding eigenfunctions of this potential in a closed-form.