The solution of the Dirac equation with the interaction term*

被引:2
|
作者
Tsai, YS [1 ]
Tsai, HM [1 ]
Tsai, PY [1 ]
Tsai, LH [1 ]
机构
[1] Natl Chung Hsing Univ, Dept Math Appl, Taichung 40227, Taiwan
关键词
D O I
10.1142/9789812702340_0050
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
With the best knowledge of the authors, it is very difficult, if it is not impossible, to find the exact solution of the Dirac equation with the interaction term [1,2]. In this article, we carefully analyze the mathematical theory of the quantum field and try to find the exact solution of the field equation with the interaction term. For simplicity, we take the Dirac field equation with the interaction term as a template of the gauge field equation. We will show how to obtain the exact solution of the Dirac equation with the interaction term. The results can be applied to other fields as well, such as QCD.
引用
收藏
页码:431 / 436
页数:6
相关论文
共 50 条
  • [21] Solution of the Dirac equation in the field of a magnetic monopole
    Torres, del Castillo, G. F.
    Cortes-Cuautli, L. C.
    Journal of Mathematical Physics, 38 (06):
  • [22] Dirac equation in Kerr geometry and its solution
    Chakrabarti, SK
    Mukhopadhyay, B
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2000, 115 (7-9): : 885 - 895
  • [23] SOLUTION OF THE DIRAC-EQUATION IN A DEFORMED BAG
    HAHN, K
    GOLDFLAM, R
    WILETS, L
    PHYSICAL REVIEW D, 1983, 27 (03): : 635 - 643
  • [24] Exact solution of the Dirac equation with CP violation
    Prokopec, Tomislav
    Schmidt, Michael G.
    Weenink, Jan
    PHYSICAL REVIEW D, 2013, 87 (08):
  • [25] Algebraic solution for the vector potential in the Dirac equation
    Booth, HS
    Legg, G
    Jarvis, PD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (28): : 5667 - 5677
  • [26] On a solution to the Dirac equation with a triangular potential well
    Payod, Renebeth B.
    Saroka, Vasil A.
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (11)
  • [27] EXACT SOLUTION OF DIRAC EQUATION WITH A CENTRAL POTENTIAL
    KANELLOPOULOS, EJ
    KANELLOPOULOS, TV
    WILDERMUTH, K
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1972, 27 (02) : 155 - +
  • [28] The Exact Solution for the Dirac Equation with the Cornell Potential
    Trevisan, L. A.
    Mirez, Carlos
    Andrade, F. M.
    FEW-BODY SYSTEMS, 2014, 55 (8-10) : 1055 - 1056
  • [29] TRAPPING SOLUTION OF THE LORENTZ-DIRAC EQUATION
    SAWADA, T
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (07): : 813 - 823
  • [30] Accurate solution of the Dirac equation on Lagrange meshes
    Baye, Daniel
    Filippin, Livio
    Godefroid, Michel
    PHYSICAL REVIEW E, 2014, 89 (04):