Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum


Ikhdair S. M. , Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.42, sa.3, ss.461-471, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Konu: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10910-006-9115-8
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.461-471

Özet

An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen potential gives satisfactory values for the non-zero angular momentum as the generalized Hulthen effective potential.