ANALYTICAL SOLUTIONS OF THE KLEIN-FOCK-GORDON EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

被引:31
|
作者
Ahmadov, A. I. [1 ,3 ]
Aydin, C. [2 ,4 ]
Uzun, O. [2 ]
机构
[1] CERN, Div Theory, Dept Phys, CH-1211 Geneva 23, Switzerland
[2] Karadeniz Tech Univ, Dept Phys, TR-61080 Trabzon, Turkey
[3] Baku State Univ, Inst Phys Problems, AZ-1148 Baku, Azerbaijan
[4] Univ Surrey, Dept Phys, Guildford GU2 7XH, Surrey, England
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2014年 / 29卷 / 01期
关键词
Nikiforov-Uvarov method; Manning-Rosen; ring-shaped potential; BOUND-STATES; DIRAC-EQUATION; RELATIVISTIC-PARTICLES; SIMILARITY TRANSFORMATION; HARMONIC-OSCILLATORS; SCHRODINGER-EQUATION; VECTOR POTENTIALS; CENTRIFUGAL TERM; SCALAR; SCHEME;
D O I
10.1142/S0217751X1450002X
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein-Fock-Gordon equation of the Manning-Rosen plus ring-shaped like potential are obtained by Nikiforov-Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning-Rosen, central and noncentral Hulthen potential.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Exact solutions of the Manning-Rosen potential plus a ring-shaped like potential for the Dirac equation: spin and pseudospin symmetry
    Asgarifar, S.
    Goudarzi, H.
    PHYSICA SCRIPTA, 2013, 87 (02)
  • [2] ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL
    Ahmadov, H. I.
    Aydin, C.
    Huseynova, N. Sh.
    Uzun, O.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2013, 22 (10)
  • [3] EXACT ANALYTICAL SOLUTION OF KLEIN-FOCK-GORDON EQUATION WITH THE HULTHEN PLUS A RING-SHAPED LIKE POTENTIALS FOR NONZERO ANGULAR MOMENTUM
    Ahmadov, A. I.
    Nagiyev, Sh. M.
    Qocayeva, M. V.
    Uzun, K.
    Tarverdiyeva, V. A.
    PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2018, : 38 - 40
  • [4] APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL MODEL
    Chen, Zhao-You
    Li, Min
    Jia, Chun-Sheng
    MODERN PHYSICS LETTERS A, 2009, 24 (23) : 1863 - 1874
  • [5] Analytical Solution of the Klein-Fock-Gordon Equation for the Modified Klingberg Plus Ring Shaped Potentials
    Tarverdiyeva, V. A.
    RUSSIAN PHYSICS JOURNAL, 2022, 65 (02) : 226 - 236
  • [6] Bound state solution of the Klein-Fock-Gordon equation with the Hulthen plus a ring-shaped-like potential within SUSY quantum mechanics
    Ahmadov, A., I
    Nagiyev, Sh M.
    Qocayeva, M., V
    Uzun, K.
    Tarverdiyeva, V. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2018, 33 (33):
  • [7] Analytical solutions of the Klein-Gordon equation for Manning-Rosen potential with centrifugal term through Nikiforov-Uvarov method
    Hatami, N.
    Setare, M. R.
    INDIAN JOURNAL OF PHYSICS, 2017, 91 (10) : 1229 - 1232
  • [8] Approximate Solutions to the Klein-Fock-Gordon Equation for the Sum of Coulomb and Ring-Shaped-Like Potentials
    Nagiyev, Sh. M.
    Ahmadov, A. I.
    Tarverdiyeva, V. A.
    ADVANCES IN HIGH ENERGY PHYSICS, 2020, 2020 (2020)
  • [9] Solutions of the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D dimensions
    Chen, Xiao-Yu
    Chen, Tao
    Jia, Chun-Sheng
    EUROPEAN PHYSICAL JOURNAL PLUS, 2014, 129 (04): : 1 - 7
  • [10] Solutions of the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D dimensions
    Xiao-Yu Chen
    Tao Chen
    Chun-Sheng Jia
    The European Physical Journal Plus, 129