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
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2004年 / 43卷 / 04期
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
  • [21] The Dirac oscillator in the presence of a chain of delta-function potentials
    Aouadi, O.
    Chargui, Y.
    Fayache, M. S.
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (02)
  • [22] Green's function and position correlation function for a charged oscillator in a heat bath and a magnetic field
    Li, XL
    OConnell, RF
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 224 (3-4) : 639 - 668
  • [23] Green's function method for the single-particle resonances in a deformed Dirac equation
    Sun, T-T
    Qian, L.
    Chen, C.
    Ring, P.
    Li, Z. P.
    PHYSICAL REVIEW C, 2020, 101 (01)
  • [24] GREEN-FUNCTION AND EXCITATION OF A SINGULAR OSCILLATOR
    DODONOV, VV
    MALKIN, IA
    MANKO, VI
    PHYSICS LETTERS A, 1972, A 39 (05) : 377 - &
  • [25] EXACT GREEN-FUNCTION OF A DAMPED OSCILLATOR
    DODONOV, VV
    KURMYSHEV, EV
    MANKO, VI
    PHYSICS LETTERS A, 1979, 72 (01) : 10 - 12
  • [26] Green function or green's function?
    Wright, M. C. M.
    NATURE PHYSICS, 2006, 2 (10) : 646 - 646
  • [27] Green function or green's function?
    M. C. M. Wright
    Nature Physics, 2006, 2 : 646 - 646
  • [28] SUPERSYMMETRY AND THE DIRAC OSCILLATOR
    QUESNE, C
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (09): : 1567 - 1589
  • [29] Green function for klein-gordon-dirac equation
    Kovalchuk V.
    Journal of Nonlinear Mathematical Physics, 2004, 11 (Suppl 1) : 72 - 77
  • [30] On the κ-Dirac oscillator revisited
    Andrade, F. M.
    Silva, E. O.
    Ferreira, M. M., Jr.
    Rodrigues, E. C.
    PHYSICS LETTERS B, 2014, 731 : 327 - 330
12345