Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation
| Autor: | Doğan Demirhan, Hale Karayer, Fevzi Büyükkiliç |
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| Rok vydání: | 2018 |
| Předmět: |
Polynomial
010308 nuclear & particles physics [No Keywords] Statistical and Nonlinear Physics Harmonic (mathematics) Eigenfunction 01 natural sciences Fast inverse square root Schrödinger equation symbols.namesake 0103 physical sciences Coulomb symbols Mathematics::Mathematical Physics 010306 general physics Mathematical Physics Eigenvalues and eigenvectors Mathematics Mathematical physics Ansatz |
| Zdroj: | Journal of Mathematical Physics. 59:053501 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.5022008 |
| Popis: | Exact solutions of the Schrodinger equation for two different potentials are presented by using the extended Nikiforov-Uvarov method. The first one is the inverse square root potential which is a long-range potential and the second one is a combination of Coulomb, linear, and harmonic potentials which is often used to describe quarkonium. Eigenstate solutions are obtained in a systematicway without using any ansatz or transformation. Eigenfunctions for considered potentials are given in terms of biconfluent Heun polynomials. Published by AIP Publishing. Kirklareli UniversityKirklareli University [KLUBAP142] This work has been supported by Kirklareli University under the Research Project No. KLUBAP142. |
| Databáze: | OpenAIRE |
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