Extension of Nikiforov-Uvarov Method for the Solution of Heun Equation
| Autor: | Fevzi Büyükkiliç, Doğan Demirhan, H. Karayer |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Partial differential equation
Differential equation Mathematical analysis FOS: Physical sciences Statistical and Nonlinear Physics Electron Mathematical Physics (math-ph) Heun's method Heun function Coulomb Mathematics::Mathematical Physics Quantum Eigenvalues and eigenvectors Mathematical Physics Mathematics |
| Popis: | We report an alternative method to solve second order differential equations which have at most four singular points. This method is developed by changing the degrees of the polynomials in the basic equation of Nikiforov-Uvarov (NU) method. This is called extended NU method for this paper. The eigenvalue solutions of Heun equation and confluent Heun equation are obtained via extended NU method. Some quantum mechanical problems such as Coulomb problem on a 3-sphere, two Coulombically repelling electrons on a sphere, and hyperbolic double-well potential are investigated by this method. |
| Databáze: | OpenAIRE |
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