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A particular solution of Heun equation for Hulthen and Woods‐Saxon potentials
Authors:Hale Karayer  Doǧan Demirhan  Fevzi Büyükkılıç
Institution:Department of Physics, Faculty of Science, Ege University, Bornova, Izmir, Turkey
Abstract:In this article a particular solution of Heun equation is derived by making use of the Nikiforov‐Uvarov (NU) method which provides exact solutions for general hypergeometric equation and eigenvalues together with eigenfunctions of the Heun equation for this particular solution are obtained. One to one correspondence (isomorphism) of the aforesaid equation with the radial Schrödinger equation is emphasized and also physical counterparts of the parameters in this equation are put forward by introducing solutions for two different potential functions (Hulthen and Woods‐Saxon potentials).
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Keywords:Nikiforov‐Uvarov  Heun equation  Hulthen potential  Woods‐Saxon potential
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