Bound and Scattering State Solutions of the Klein-Gordon Equation with Deng-Fan Potential in Higher Dimensions

被引：7

作者：

Ikot, A. N. ^{[1
]}

Okorie, U. S. ^{[1
,6
]}

Rampho, G. J. ^{[2
]}

Edet, C. O. ^{[1
]}

Horchani, R. ^{[3
]}

Abdel-aty, A. ^{[4
,5
]}

Alshehri, N. A. ^{[7
]}

Elagan, S. K. ^{[7
]}

机构：

[1] Univ Port Harcourt, Dept Phys, Theoret Phys Grp, PMB 5323, Choba, Port Harcourt, Nigeria

[2] Univ South Africa, Dept Phys, ZA-1710 Johannesburg, South Africa

[3] Sultan Qaboos Univ, Coll Sci, Dept Phys, POB 36, Muscat 123, Oman

[4] Univ Bisha, Dept Phys, Coll Sci, POB 344, Bisha 61922, Saudi Arabia

[5] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt

[6] Akwa Ibom State Univ, Dept Phys, Ikot Akpaden, Uyo, Nigeria

[7] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia

来源：

FEW-BODY SYSTEMS | 2021年 / 62卷 / 04期

关键词：

SEPARABLE REPRESENTATION; SCHRODINGER-EQUATION; ALGEBRAIC APPROACH; ENERGIES; MODEL; PLUS;

D O I：

10.1007/s00601-021-01693-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, the Klein-Gordon equation was solved with the Deng-Fan potential using the Nikiforov-Uvarov-functional-analysis in higher dimensions. By employing the improved Pekeris-type approximation scheme, the relativistic and nonrelativistic energy spectra of the Deng-Fan potential were obtained in closed form. In addition, the scattering state phase shift expression of Deng-Fan potential was obtained in higher dimensions. The effects of the vibrational and rotational quantum numbers on the vibrational energies and scattering phase shift of hydrogen chloride (HCl) and lithium hydride (LiH) diatomic molecules were studied numerically and graphically at different dimensions. Interestingly, there exists inter-dimensional degeneracy symmetry for the scattering phase shift of the diatomic molecular systems considered. Our results generally were in agreement with that obtained from literatures.

引用

页数：11

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