The Dirac-oscillator Green's function

被引:5
|
作者
Alhaidari, AD [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia
关键词
Dirac-oscillator; Green's function; Dirac equation; energy spectrum;
D O I
10.1023/B:IJTP.0000048591.51927.e9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.
引用
收藏
页码:939 / 946
页数:8
相关论文
共 50 条
  • [11] Wigner function for the Dirac oscillator in spinor space
    Ma Kai
    Wang Jian-Hua
    Yuan Yi
    CHINESE PHYSICS C, 2011, 35 (01) : 11 - 15
  • [12] Green's function and scattering matrix in a discrete oscillator basis
    O. A. Rubtsova
    V. I. Kukulin
    Physics of Atomic Nuclei, 2001, 64 : 1799 - 1811
  • [13] Green's function and scattering matrix in a discrete oscillator basis
    Rubtsova, OA
    Kukulin, VI
    PHYSICS OF ATOMIC NUCLEI, 2001, 64 (10) : 1799 - 1811
  • [14] Green's function formulation of multiple nonlinear Dirac δ-function potential in one dimension
    Erman, Fatih
    Uncu, Haydar
    PHYSICS LETTERS A, 2020, 384 (11)
  • [15] Nonequilibrium Green's Function Method for the Harmonic Oscillator in a Heat Bath
    Pavlik, S. I.
    Kulik, D. I.
    Oseledchik, Yu. S.
    2016 II INTERNATIONAL YOUNG SCIENTISTS FORUM ON APPLIED PHYSICS AND ENGINEERING (YSF), 2016, : 53 - 56
  • [16] On the Dirac oscillator
    Rodrigues, R. de Lima
    PHYSICS LETTERS A, 2008, 372 (15) : 2587 - 2591
  • [17] THE DIRAC OSCILLATOR
    MOSHINSKY, M
    SZCZEPANIAK, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17): : L817 - L819
  • [18] Calculations of QED Effects with the Dirac Green Function
    Yerokhin, Vladimir A.
    Maiorova, Anna, V
    SYMMETRY-BASEL, 2020, 12 (05):
  • [19] Dirac Green function for angular projection potentials
    Zeller, Rudolf
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2015, 27 (46)
  • [20] Exact Green's function for 2D dirac oscillator in constant magnetic field within curved snyder space, and its thermal properties
    Benzair, Thouiba
    Chohra, Thouraia
    Boudjedaa, Tahar
    Merad, Mahmoud
    PHYSICA SCRIPTA, 2024, 99 (04)