Exact solutions to the Dirac equation with a Coulomb potential in 2+1 dimensions

被引:52
|
作者
Dong, SH [1 ]
Ma, ZQ
机构
[1] Inst High Energy Phys, Beijing 100039, Peoples R China
[2] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
[3] Inst Mexicano Petr, Programa Ingn Mol, Mexico City 07730, DF, Mexico
[4] CCAST, World Lab, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
Dirac equation; Coulomb potential; two dimensions;
D O I
10.1016/S0375-9601(03)00606-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The (2 + 1)-dimensional Dirac equation with a Coulomb potential is investigated by studying a second-order differential equation obtained from a pair of coupled first-order ones. The solutions of the bound states expressed by the confluent hypergeometric functions are analytically obtained. The energy levels and their fine structures are also presented. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:78 / 83
页数:6
相关论文
共 50 条
  • [31] NEW EXACT SOLUTIONS OF CLASSICAL SINE-GORDON EQUATION IN 2+1 AND 3+1 DIMENSIONS
    LEIBBRANDT, G
    PHYSICAL REVIEW LETTERS, 1978, 41 (07) : 435 - 438
  • [32] A series of exact solutions of (2+1)-dimensional CDGKS equation
    Yang Zong-Hang
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (05) : 807 - 811
  • [33] A variety of exact solutions to (2+1)-dimensional schrodinger equation
    Younis, Muhammad
    Cheemaa, Nadia
    Mehmood, Syed Amer
    Rizvi, Syed Tahir Raza
    Bekir, Ahmet
    WAVES IN RANDOM AND COMPLEX MEDIA, 2020, 30 (03) : 490 - 499
  • [34] THE DYNAMICS OF THE EXACT SOLUTIONS OF THE (2+1)-DIMENSIONAL HIROTA EQUATION
    Chen, Caifeng
    Li, Maohua
    Zheng, Mengqi
    Dong, Xiaona
    ROMANIAN JOURNAL OF PHYSICS, 2022, 67 (3-4):
  • [35] Exact complexiton solutions of the (2+1)-dimensional Burgers equation
    Chen, Y
    Wang, Q
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (10): : 673 - 680
  • [36] A Series of Exact Solutions of (2+1)-Dimensional CDGKS Equation
    YANG Zong-Hang Department of Mathematics
    Communications in Theoretical Physics, 2006, 46 (11) : 807 - 811
  • [37] Exact Solutions to (2+1)-Dimensional Kaup Kupershmidt Equation
    Lue Hai-Ling
    Liu Xi-Qiang
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (05) : 795 - 800
  • [38] Travelling wave solutions for a CBS equation in 2+1 dimensions
    Luz Gandarias, Maria
    Santos Bruzon, Maria
    RECENT ADVANCES ON APPLIED MATHEMATICS: PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS (MATH '08), 2008, : 153 - +
  • [39] Exact solutions for boson-fermion stars in 2+1 dimensions
    Sakamoto, K
    Shiraishi, K
    PHYSICAL REVIEW D, 1998, 58 (12)
  • [40] Analytic solution for gauged Dirac-Weyl equation in (2+1)-dimensions
    Sebastian Ardenghi, Juan
    Juan, Alfredo
    Escudero, Federico
    Sourrouille, Lucas
    EPL, 2017, 118 (02)