Solutions of N-dimensional Schr\"{o}dinger Equation with Morse Potential Via Laplace Transforms
Quantum Physics
2020-03-24 v1 Chemical Physics
Abstract
A study is undertaken to investigate an analytical solution for the N-dimensional Schr\"{o}dinger equation with the Morse potential based on the Laplace transformation method. The results show that in the Pekeris approximation, the radial part of the Schr\"{o}dinger equation reduces to the corresponding equation in one dimension. Hence its exact solutions can be obtained by the Laplace transformation method of G. Chen, phys. Lett. A 326 (2004) 55. In addition, a comparison is made between the energy spectrum resulted from this method and the spectra that are obtained from the two-point quasi-rational approximation method and the Nikiforov-Uvarov approach.
Keywords
Cite
@article{arxiv.2003.09690,
title = {Solutions of N-dimensional Schr\"{o}dinger Equation with Morse Potential Via Laplace Transforms},
author = {S. Miraboutalebi and L. Rajaei},
journal= {arXiv preprint arXiv:2003.09690},
year = {2020}
}
Comments
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