Iterative solutions to the Dirac equation

被引：65
|
作者：
Ciftci, H
Hall, RL
Saad, N
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
[3] Gazi Univ, Fen Edebiyat Fak, Fiz Bolumu, TR-06500 Ankara, Turkey
来源：
PHYSICAL REVIEW A | 2005年 / 72卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.72.022101
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for both eigenvalues and wave functions.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Nondispersive analytical solutions to the Dirac equation
    Campos, Andre G.
    Cabrera, Renan
    [J]. PHYSICAL REVIEW RESEARCH, 2020, 2 (01):
  • [22] Stationary solutions for a superlinear Dirac equation
    Zhang, Wen
    Tang, Xianhua
    Zhang, Jian
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (04) : 796 - 805
  • [23] New exact solutions of the Dirac equation
    Bose, SK
    Schulze-Halberg, A
    Singh, M
    [J]. PHYSICS LETTERS A, 2001, 287 (5-6) : 321 - 324
  • [24] Solutions of the Dirac Equation for the Davidson Potential
    Mohammad R. Setare
    S. Haidari
    [J]. International Journal of Theoretical Physics, 2009, 48 : 3249 - 3256
  • [25] A new class of solutions of the Dirac equation
    Yu. G. Pavlenko
    A. I. Toropova
    [J]. Theoretical and Mathematical Physics, 1999, 120 : 1079 - 1086
  • [26] Iterative solution of a Dirac equation with an inverse Hamiltonian method
    Hagino, K.
    Tanimura, Y.
    [J]. PHYSICAL REVIEW C, 2010, 82 (05):
  • [27] A new class of solutions of the Dirac equation
    Pavlenko, YG
    Toropova, AI
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1999, 120 (02) : 1079 - 1086
  • [28] ON SOLUTIONS OF THE DIRAC-EQUATION IN THE FIELD OF DIRAC ELECTRIC MONOPOLE
    STARUSZKIEWICZ, A
    [J]. ACTA PHYSICA POLONICA B, 1985, 16 (02): : 149 - 155
  • [29] SOLUTIONS OF DIRAC-EQUATION FOR GENERAL INSTANTON SOLUTIONS
    OSBORN, H
    [J]. NUCLEAR PHYSICS B, 1978, 140 (01) : 45 - 53
  • [30] A Note on Iterative Solutions of an Iterative Functional Differential Equation
    H. Y. Zhao
    [J]. Ukrainian Mathematical Journal, 2021, 72 : 1807 - 1819
12345