Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions

被引：0
|
作者：
V. R. Khalilov
K. E. Lee
机构：
[1] Lomonosov Moscow State University,
来源：
Theoretical and Mathematical Physics | 2011年 / 169卷
关键词：
symmetric operator; self-adjoint extension of the Hamiltonian; Coulomb potential in 2+1 dimensions; Aharonov-Bohm potential; spin;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find all self-adjoint Dirac Hamiltonians in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions with the fermion spin taken into account. We obtain implicit equations for the spectra and construct eigenfunctions for all self-adjoint Dirac Hamiltonians in the indicated external fields. We find explicit solutions of the equations for the spectra in some cases.
引用
收藏
页码：1683 / 1703
页数：20
相关论文
共 50 条
  • [31] On the solution of a “2D Coulomb + Aharonov-Bohm” problem: oscillator strengths in the discrete spectrum and scattering
    H. T. T. Nguyen
    P. A. Meleshenko
    A. V. Dolgikh
    A. F. Klinskikh
    The European Physical Journal D, 2011, 62 : 361 - 370
  • [32] On the solution of a "2D Coulomb plus Aharonov-Bohm" problem: oscillator strengths in the discrete spectrum and scattering
    Nguyen, H. T. T.
    Meleshenko, P. A.
    Dolgikh, A. V.
    Klinskikh, A. F.
    EUROPEAN PHYSICAL JOURNAL D, 2011, 62 (03): : 361 - 370
  • [33] Aharonov-Bohm oscillations in Dirac semimetal Cd3As2 nanowires
    Wang, Li-Xian
    Li, Cai-Zhen
    Yu, Da-Peng
    Liao, Zhi-Min
    NATURE COMMUNICATIONS, 2016, 7
  • [34] Aharonov-Bohm oscillations in Dirac semimetal Cd3As2 nanowires
    Science Foundation in China, 2016, (02) : 47 - 47
  • [35] Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects
    Boumali, Abdelmalek
    Aounallah, Houcine
    ADVANCES IN HIGH ENERGY PHYSICS, 2018, 2018
  • [36] Exact solutions to the Dirac equation with a Coulomb potential in 2+1 dimensions
    Dong, SH
    Ma, ZQ
    PHYSICS LETTERS A, 2003, 312 (1-2) : 78 - 83
  • [37] On the bound states of the Dirac equation with a coulomb potential in 2+1 dimensions
    Dong, SH
    PHYSICA SCRIPTA, 2003, 67 (02) : 89 - 92
  • [38] Effects of rotation and Coulomb-type potential on the spin-1/2 Aharonov-Bohm problem
    Cunha, Marcio M.
    Andrade, Fabiano M.
    Silva, Edilberto O.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (02):
  • [39] EXACT SOLUTION OF THE DIRAC-EQUATION FOR A COULOMB AND SCALAR POTENTIAL IN THE PRESENCE OF AN AHARONOV-BOHM AND A MAGNETIC MONOPOLE FIELDS
    VILLALBA, VM
    JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (07) : 3332 - 3344
  • [40] Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov-Bohm effect
    Ferkous, N
    Bounames, A
    PHYSICS LETTERS A, 2004, 325 (01) : 21 - 29
12345