Premium
A particular solution of Heun equation for Hulthen and Woods‐Saxon potentials
Author(s) -
Karayer Hale,
Demirhan Doǧan,
Büyükkılıç Fevzi
Publication year - 2014
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201400118
Subject(s) - eigenfunction , eigenvalues and eigenvectors , hypergeometric function , integro differential equation , woods–saxon potential , schrödinger equation , mathematical physics , frobenius solution to the hypergeometric equation , mathematics , physics , mathematical analysis , partial differential equation , riccati equation , quantum mechanics , confluent hypergeometric function , hypergeometric function of a matrix argument , nuclear reaction
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).