Polynomial Solution of Non-Central Potentials

Journal Title, Volume, Page:

Int J Theor Phys , 46: 2384–2395

Year of Publication:

2007

Link:

http://arxiv.org/abs/quant-ph/0702186

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.

Attachment	Size
Polynomial Solution of Non-Central Potentials	328.12 KB

An-Najah Staff

Author Information

Polynomial Solution of Non-Central Potentials