Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential

被引：22
|
作者：
Ikot, Akpan N. [1 ]
Awoga, Oladunjoye A. [1 ]
Ita, Benedict I. [2 ]
机构：
[1] Univ Uyo, Theoret Phys Grp, Dept Phys, Uyo, Nigeria
[2] Univ Calabar, Quantum Chem Grp, Dept Chem, Calabar, Nigeria
来源：
FEW-BODY SYSTEMS | 2012年 / 53卷 / 3-4期
关键词：
DIRAC-EQUATION; RELATIVISTIC EXTENSION; APPROXIMATE SOLUTION; BOUND-STATES; SPIN; SCALAR; SYMMETRY;
D O I：
10.1007/s00601-012-0434-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function for s-wave. The wave functions obtained are expressed in terms of Jacobi polynomials.
引用
下载
收藏
页码：539 / 548
页数：10
相关论文
共 50 条
  • [31] Bifurcation and exact traveling wave solutions for the nonlinear Klein-Gordon equation
    Arab, Meraa
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (04): : 2643 - 2661
  • [32] Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials
    Taskin, F.
    Boztosun, I.
    Bayrak, O.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (06) : 1612 - 1617
  • [33] NONDISPERSIVE SOLUTIONS OF THE KLEIN-GORDON EQUATION
    HILLION, P
    JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (05) : 1817 - 1821
  • [34] CONTINUUM SOLUTIONS OF THE KLEIN-GORDON EQUATION
    JANSEN, G
    PUSCH, M
    SOFF, G
    ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, 1988, 8 (04): : 315 - 327
  • [35] Bound state solutions of Klein-Gordon equation with the Kratzer potential
    Kocak, M.
    CHINESE PHYSICS LETTERS, 2007, 24 (02) : 315 - 317
  • [36] EXPONENTIAL POTENTIAL AND KLEIN-GORDON EQUATION
    BAWIN, M
    LAVINE, JP
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1974, A 23 (02): : 311 - 320
  • [37] Exact bound state solutions of the Klein-Gordon particle in Hulthen potential
    Zhang Min-Cang
    CHINESE PHYSICS B, 2008, 17 (09) : 3214 - 3216
  • [38] Exact solutions of a (2+1)-dimensional nonlinear Klein-Gordon equation
    Güngör, F
    PHYSICA SCRIPTA, 2000, 61 (04): : 385 - 390
  • [39] New wave solutions, exact and numerical approximations to the nonlinear Klein-Gordon equation
    Partohaghighi, Mohammad
    Sulaiman, Tukur A.
    Yusuf, Abdullahi
    Inc, Mustafa
    Bayram, Mustafa
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (20):
  • [40] Exact multisoliton solutions of nonlinear Klein-Gordon equation in 1 + 2 dimensions
    Mohammad Mirzazadeh
    Mostafa Eslami
    The European Physical Journal Plus, 128
12345