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Exact Solutions of the Radial Schrödinger Equation for Some Physical Potentials

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Sun, 2013-09-15 10:40 — Sameer. Ikhdair
Journal Title, Volume, Page: 
Central European Journal of Physics December, Volume 5, Issue 4, pp 516-527
Year of Publication: 
2007
Link: 
http://link.springer.com/article/10.2478%2Fs11534-007-0022-9
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): 

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.