Extension of Nikiforov-Uvarov method for the solution of Heun equation

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Physics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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. (C) 2015 AIP Publishing LLC.

Açıklama

Anahtar Kelimeler

Kaynak

Journal of Mathematical Physics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

56

Sayı

6

Künye