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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

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Volume 5, Issue 4

Issues

Volume 13 (2015)

Exact solutions of the radial Schrödinger equation for some physical potentials

Sameer Ikhdair / Ramazan Sever
Published Online: 2007-12-01 | DOI: https://doi.org/10.2478/s11534-007-0022-9

Abstract

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.

Keywords: Wavefunction ansatz; pseudoharmonic potential; Kratzer’s potential; bound-states; eigenvalues and eigenfunctions

PACS: 03.65.-w; 03.65.Fd; 03.65.Ge

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About the article

Published Online: 2007-12-01

Published in Print: 2007-12-01


Citation Information: Open Physics, Volume 5, Issue 4, Pages 516–527, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-007-0022-9.

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© 2007 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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