Exact Supersymmetric Solution Of Schrodinger Equation For Some Potentials
Autor: | Aktas, Metin |
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Jazyk: | angličtina |
Rok vydání: | 2005 |
Předmět: | |
Druh dokumentu: | Ph.D. Thesis |
Popis: | Exact solution of the Schrö dinger 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 Hulthé n and exponential type screened potentials. Similarly, Morse, Pö schl-Teller and Hulthé n 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. |
Databáze: | Networked Digital Library of Theses & Dissertations |
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