Approximate Bound State Solutions of the Hellmann Plus Kratzer Potential in N-dimensional Space
[ X ]
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Gazi Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We have examined the approximate l(N-1)-state solutions of the N-dimensional Schrodinger equation for a particle interacting with the Hellmann plus Kratzer potential. In hyperspherical coordinate system, we have constructed the bound state energy equation and the wavefunctions expressed by the hypergeometric function via the asymptotic iteration approach in detail. When considered the special cases of parameters in Hellmann plus Kratzer potential, this potential turns into several potential models. In this connection, the non-relativistic energy spectra for the modified Kratzer, Yukawa, Coulomb and Hellmann potentials in approximate analytic form have been obtained in hyperspherical coordinates. We have presented the numerical energy eigenvalues for the Hellmann, Yukawa and Coulomb potentials in N = 3 dimensions. Our present results provide an appropriate test of the accuracy of asymptotic iteration formalism.
Açıklama
Anahtar Kelimeler
Hellmann, Kratzer, N-dimensions
Kaynak
Gazi University Journal of Science
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
33
Sayı
3
