Quasi-exact and asymptotic iterative solutions of Dirac equation in the presence of some scalar potentials

被引：0
|
作者：
A Chenaghlou
S Aghaei
R Mokhtari
机构：
[1] Sahand University of Technology,Department of Physics, Faculty of Sciences
[2] Farhangian University,Physics Department, Faculty of Sciences
来源：
Pramana | 2020年 / 94卷
关键词：
Dirac equation; quasi-exact solvability; supersymmetric quantum mechanics; asymptotic iteration method; 03.65.–w; 03.65.Pm; 03.65.Fd; 02.20.–a;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the Dirac equation in the presence of some scalar potentials based on sl(2) Lie algebra is solved by quasi-exact solvability theory. The configuration of the classes III and VI potentials in the Turbiner’s classification is constructed. Then, the Bethe ansatz equations are calculated so that the energy eigenvalues and eigenfunctions are obtained. Also, we study the problem by using asymptotic iteration method. Finally, we compare the results obtained by these two methods.
引用
收藏
相关论文
共 50 条
  • [41] FURTHER EXACT SOLUTIONS OF DIRAC EQUATION
    STANCIU, GN
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (10) : 2043 - +
  • [42] EXACT SOLUTIONS OF DIRAC-EQUATION
    KULKARNI, SV
    SHARMA, LK
    [J]. PRAMANA, 1979, 12 (05) : 475 - 480
  • [43] NEW EXACT SOLUTIONS OF DIRAC EQUATION
    LAM, L
    [J]. CANADIAN JOURNAL OF PHYSICS, 1970, 48 (16) : 1935 - &
  • [44] Quasi-exact treatment of non-relativistic generalized hyperbolic potentials
    Rath, Biswanath
    Sedaghatnia, Parisa
    Hassanabadi, Hassan
    [J]. EPL, 2023, 141 (04)
  • [45] Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
    Dutra, AD
    [J]. GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 531 - 534
  • [46] New exact solutions of the Dirac equation
    Bose, SK
    Schulze-Halberg, A
    Singh, M
    [J]. PHYSICS LETTERS A, 2001, 287 (5-6) : 321 - 324
  • [47] Quasi-exact solutions for the Bohr Hamiltonian with sextic oscillator potential
    Buganu, P.
    Budaca, R.
    Chabab, M.
    Lahbas, A.
    Oulne, M.
    [J]. XXIII INTERNATIONAL SCHOOL ON NUCLEAR PHYSICS, NEUTRON PHYSICS AND APPLICATIONS, 2020, 1555
  • [48] Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials
    F. Taşkın
    I. Boztosun
    O. Bayrak
    [J]. International Journal of Theoretical Physics, 2008, 47 : 1612 - 1617
  • [49] Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials
    Taskin, F.
    Boztosun, I.
    Bayrak, O.
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (06) : 1612 - 1617
  • [50] Exact solutions of the radial Schrodinger equation for some physical potentials
    Ikhdair, Sameer M.
    Sever, Ramazan
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2007, 5 (04): : 516 - 527
12345