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
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
收藏
页数:11
相关论文
共 50 条
  • [1] Bound and Scattering State Solutions of the Klein–Gordon Equation with Deng–Fan Potential in Higher Dimensions
    A. N. Ikot
    U. S. Okorie
    G. J. Rampho
    C. O. Edet
    R. Horchani
    A. Abdel-aty
    N. A. Alshehri
    S. K. Elagan
    Few-Body Systems, 2021, 62
  • [2] Bound state solutions of the hyper-radial Klein-Gordon equation under the Deng-Fan potential by WKB and SWKB methods
    Omugbe, E.
    Osafile, O. E.
    Inyang, E. P.
    Jahanshir, A.
    PHYSICA SCRIPTA, 2021, 96 (12)
  • [3] Analytical solutions of the Klein-Gordon equation for the deformed generalized Deng-Fan potential plus deformed Eckart potential
    N. Hatami
    J. Naji
    M. Pananeh
    The European Physical Journal Plus, 134
  • [4] Analytical solutions of the Klein-Gordon equation for the deformed generalized Deng-Fan potential plus deformed Eckart potential
    Hatami, N.
    Naji, J.
    Pananeh, M.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (03):
  • [5] Bound and scattering states solutions of the Klein-Gordon equation with the attractive radial potential in higher dimensions
    Okorie, U. S.
    Ikot, A. N.
    Onate, C. A.
    Onyeaju, M. C.
    Rampho, G. J.
    MODERN PHYSICS LETTERS A, 2021, 36 (32)
  • [6] Bound state solutions of Klein-Gordon equation with the Kratzer potential
    Kocak, M.
    CHINESE PHYSICS LETTERS, 2007, 24 (02) : 315 - 317
  • [7] D-dimensional Klein-Gordon equation in presence of deformed generalized Deng-Fan with Yukawa potential class: Approximate bound state solutions in relativistic and non-relativistic regimes
    Dutta, Sukanya
    Dey, Arijit
    Das, Amiya
    ANNALS OF PHYSICS, 2024, 468
  • [8] Bound state solutions of the Dirac equation with the Deng-Fan potential including a Coulomb tensor interaction
    Ortakaya, S.
    Hassanabadi, H.
    Yazarloo, B. H.
    CHINESE PHYSICS B, 2014, 23 (03)
  • [9] Bound and scattering states solutions of the Klein-Gordon equation with generalized Mobius square potential in D-dimensions
    Okorie, Uduakobong S.
    Ikot, Akpan N.
    Edet, Collins O.
    Rampho, Gaotsiwe J.
    Horchani, Ridha
    Jelassi, Haikel
    EUROPEAN PHYSICAL JOURNAL D, 2021, 75 (02):
  • [10] Solutions of the Klein-Gordon equation with the Morse potential energy model in higher spatial dimensions
    Xie, Xiang-Jun
    Jia, Chun-Sheng
    PHYSICA SCRIPTA, 2015, 90 (03)