Exact supersymmetric solution of Schrödinger equation for some potentials

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2005

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Aktaş, Metin

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Exact solution of the Schrödinger equation with some potentials is obtained. The normal and supersymmetric cases are considered. Deformed ring-shaped potential is solved in the parabolic and spherical coordinates. By taking appropriate values for the parameter q, similar results are obtained for Hulthén and exponential type screened potentials. Similarly, Morse, Pöschl-Teller and Hulthén potentials are solved for the supersymmetric case. Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is also studied. The Nikiforov-Uvarov and Hamiltonian Hierarchy methods are used in the calculations. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. Results are in good agreement with ones obtained before.

Subject Keywords

Physics.

URI

http://etd.lib.metu.edu.tr/upload/12605819/index.pdf
https://hdl.handle.net/11511/14984

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Aktaş, “Exact supersymmetric solution of Schrödinger equation for some potentials,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.