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Solutions of N-dimensional Schrödinger equation with Morse potential via Laplace transforms

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Abstract

A study is undertaken to investigate an analytical solution for the N-dimensional Schrödinger equation with the Morse potential based on the Laplace transformation method. The results show that in the Pekeris approximation, the radial part of the Schrödinger equation reduces to the corresponding equation in one dimension. 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.

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Correspondence to S. Miraboutalebi.

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Miraboutalebi, S., Rajaei, L. Solutions of N-dimensional Schrödinger equation with Morse potential via Laplace transforms. J Math Chem 52, 1119–1128 (2014). https://doi.org/10.1007/s10910-014-0330-4

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