Pseudo-Harmonic Oscillatory Ring-Shaped Potential in a Relativistic Equation

被引：17
|
作者：
Eshghi, M. [1 ]
机构：
[1] Imam Hossein Comprehens Univ, Fac Sci, Dept Phys, Tehran, Iran
来源：
CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 11期
关键词：
KLEIN-GORDON EQUATION; DIRAC-EQUATION; SCHRODINGER-EQUATION; SYMMETRY;
D O I：
10.1088/0256-307X/29/11/110304
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the Laplace transform approach and the Nikiforov-Uvarov (NU) method. The normalized eigenfunctions are expressed in terms of hyper-geometric series and use the NU and Laplace methods to obtain the eigenvalues equations. The obtained result of the eigenvalue equation is compared. At the end, one can find with a simple transformation the lower spinor component of the Dirac equation.
引用
收藏
页数：3
相关论文
共 50 条
  • [31] Exact solutions of the Schrodinger equation for a new ring-shaped nonharmonic oscillator potential
    Cheng Yan-Fu
    Dai Tong-Qing
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (12): : 1919 - 1927
  • [32] Pseudospin symmetry for a new ring-shaped non-spherical harmonic oscillator potential
    Zhang, Min-Cang
    Huang-Fu, Guo-Qing
    An, Bo
    PHYSICA SCRIPTA, 2009, 80 (06)
  • [33] Solutions of the Schrodinger equation for pseudo-Coulomb potential plus a new improved ring-shaped potential in the cosmic string space-time
    Ikot, Akpan N.
    Abbey, Tamunoimi M.
    Chukwuocha, Ephraim O.
    Onyeaju, Michael C.
    CANADIAN JOURNAL OF PHYSICS, 2016, 94 (05) : 517 - 521
  • [34] Dirac particles with screened Kratzer-Hulthen plus ring-shaped potential in noncompact extra dimensions
    Likene, A. Atangana
    Ema'a, J. M. Ema'a
    Abiama, P. Ele
    Ben-Bolie, G. H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2024, 38 (28):
  • [35] PSEUDOSPIN AND SPIN SYMMETRY FOR THE RING-SHAPED GENERALIZED HULTHEN POTENTIAL
    Aydogdu, Oktay
    Sever, Ramazan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (21): : 4067 - 4079
  • [36] ANALYTICAL SOLUTIONS OF THE KLEIN-FOCK-GORDON EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL
    Ahmadov, A. I.
    Aydin, C.
    Uzun, O.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (01):
  • [37] Exact solutions of the Klein-Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform
    Ortakaya, Sami
    CHINESE PHYSICS B, 2012, 21 (07)
  • [38] Bound states of Klein-Gordon equation for ring-shaped harmonic oscillator scalar and vector potentials
    Qiang, WC
    CHINESE PHYSICS, 2003, 12 (02): : 136 - 139
  • [39] Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method
    Hassanabadi, H.
    Maghsoodi, E.
    Zarrinkamar, S.
    CHINESE PHYSICS C, 2013, 37 (11)
  • [40] Exact solutions of a new Coulomb ring-shaped potential
    Zhang, Min-Cang
    An, Bo
    Guo-Qing, Huang-Fu
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 48 (04) : 876 - 882
12345