Polynomial Solutions of the Mie-type potential in the D-dimensional Schrödinger Equation

Journal Title, Volume, Page:

Journal of Molecular Structure: THEOCHEM Volume 855, Issues 1–3, Pages 13–17

Year of Publication:

2008

Link:

http://www.sciencedirect.com/science/article/pii/S0166128007008238

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, TRNC, 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):

The polynomial solution of the D-dimensional Schrödinger equation for a special case of Mie potential is obtained with an arbitrary l≠0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.

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Polynomial Solutions of the Mie-type potential in the D-dimensional Schrödinger Equation