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A General Approach for the Exact Solution of the Schrödinger Equation
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A General Approach for the Exact Solution of the Schrödinger Equation
Cevdet Tezcan1 and Ramazan Sever2 
| (1) |
Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey |
| (2) |
Department of Physics, Middle East Technical University, 06531 Ankara, Turkey |
Received: 3 April 2008 Accepted: 15 July 2008 Published online: 26 July 2008
Abstract The Schrödinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrödinger
equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov
method is used in the calculations to get energy eigenvalues and the corresponding wave functions.
Keywords Generalized Morse potential - Rosen-Morse potential - Pseudoharmonic potential - Mie potential - Woods-Saxon potential - Kratzer-Fues potential - Non-central potential
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