Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials

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2012-04-01

Author

Arda, Altug
Sever, Ramazan

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Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrodinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wave-functions of the above potentials. It is also given numerical results for the bound states of two diatomic molecular potentials, and compared the results with the ones obtained in literature.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/62661

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-011-9944-y

Collections

Department of Physics, Article

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Citation Formats

A. Arda and R. Sever, “Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 971–980, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62661.