Extension of Nikiforov-Uvarov method for the solution of Heun equation
Küçük Resim Yok
Tarih
2015
Yazarlar
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