Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method

Yasuk, FEVZİYE; Berkdemir, Cüneyt; Berkdemir, Ayşe

doi:10.1088/0305-4470/38/29/012

Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method

Atıf İçin Kopyala

Yasuk F., Berkdemir C., Berkdemir A.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.38, sa.29, ss.6579-6586, 2005 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 29
Basım Tarihi: 2005
Doi Numarası: 10.1088/0305-4470/38/29/012
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.6579-6586
Erciyes Üniversitesi Adresli: Evet

Özet

The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov-Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.