Analytical Solutions to the Hulthen and the Morse Potentials by using the Asymptotic Iteration Method

Details Analytical Solutions to the Hulthen and the Morse Potentials by using the Asymptotic Iteration Method Analytical Solutions to the Hulthen and the Morse Potentials by using the Asymptotic Iteration Method

2007-03-13

arxiv.org/abs/quant-ph/0703101v1

Journal of Molecular Structure: THEOCHEM 802 (2007) 17

Physics

Quantum Physics

13 pages and 2 tables

Scientific paper

10.1063/1.2733182

We present the exact analytical solution of the radial Schr\"{o}dinger
equation for the deformed Hulth\'{e}n and the Morse potentials within the
framework of the Asymptotic Iteration Method. The bound state energy
eigenvalues and corresponding wave functions are obtained explicitly. Our
results are in excellent agreement with the findings of the other methods.

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