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
  • [41] Bound states of the Klein-Gordon equation for ring-shaped Kratzer-type potential
    Chao, QW
    CHINESE PHYSICS, 2004, 13 (05): : 575 - 578
  • [42] Exact solutions of the Schrodinger equation with double ring-shaped oscillator
    Chen, Chang-Yuan
    You, Yuan
    Wang, Xiao-Hua
    Dong, Shi-Hai
    PHYSICS LETTERS A, 2013, 377 (23-24) : 1521 - 1525
  • [43] Bound state solutions of the Klein-Gordon equation under a non-central potential: the Eckart plus a ring-shaped potential
    Ahmadov, A. I.
    Demirci, M.
    Mustamin, M. F.
    Orujova, M. Sh.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (01)
  • [44] Bound states of Klein-Gordon equation for ring-shaped non-spherical harmonic oscillator potentials
    Lu, FL
    Chen, CY
    ACTA PHYSICA SINICA, 2004, 53 (06) : 1652 - 1656
  • [45] Non-relativistic continuous states in arbitrary dimension for a ring-shaped pseudo-Coulomb and energy-dependent potentials
    Eshghi, Mahdi
    Mehraban, Hossein
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) : 1599 - 1606
  • [46] Approximate analytical solutions of bound states for the double ring-shaped Hulthen potential
    Lu Fa-Lin
    Chen Chang-Yuan
    You Yuan
    ACTA PHYSICA SINICA, 2013, 62 (20)
  • [47] Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential
    Nagiyev, Sh M.
    Ahmadov, A., I
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2019, 34 (17):
  • [48] Information and complexity measures for the ring-shaped modified Kratzer potential
    Yahya, W. A.
    Oyewumi, K. J.
    Sen, K. D.
    INDIAN JOURNAL OF CHEMISTRY SECTION A-INORGANIC BIO-INORGANIC PHYSICAL THEORETICAL & ANALYTICAL CHEMISTRY, 2014, 53 (10): : 1307 - 1316
  • [49] Exact Solutions of Schrodinger Equation in Cylindrical Coordinates for Double Ring-Shaped Coulomb Oscillator Potential Using SUSY QM Method
    Ma'arif, Miftahul
    Naufal, M., I
    Suparmi, A.
    Cari, C.
    6TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES, 2019, 1127
  • [50] RELATIVISTIC BOUND STATES IN THE PRESENCE OF SPHERICALLY RING-SHAPED q-DEFORMED WOODS-SAXON POTENTIAL WITH ARBITRARY l-STATES
    Ikhdair, Sameer M.
    Hamzavi, Majid
    INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 2013, 22 (03):
12345