Quasi-exact solvability of planar Dirac electron in Coulomb and magnetic fields

被引：4
|
作者：
Chiang, CM [1 ]
Ho, CL
机构：
[1] No Taiwan Inst Sci & Technol, Taipei 112, Taiwan
[2] Tamkang Univ, Dept Phys, Tamsui 25137, Taiwan
来源：
MODERN PHYSICS LETTERS A | 2005年 / 20卷 / 09期
关键词：
quasi-exact solvability; Dirac equation; superalgebra;
D O I：
10.1142/S0217732305016452
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra sl(2) which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden osp(2, 2) superalgebra.
引用
收藏
页码：673 / 679
页数：7
相关论文
共 50 条
  • [21] Singular potentials with quasi-exact Dirac bound states
    Znojil, M
    PHYSICS LETTERS A, 1999, 255 (1-2) : 1 - 6
  • [22] Quasi-exact solvability of the one-dimensional Holstein model
    Pan, Feng
    Dail, Lian-Rong
    Draayer, J. P.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (13): : L207 - L213
  • [23] Conditional quasi-exact solvability of the quantum planar pendulum and of its anti-isospectral hyperbolic counterpart
    Simon Becker
    Marjan Mirahmadi
    Burkhard Schmidt
    Konrad Schatz
    Bretislav Friedrich
    The European Physical Journal D, 2017, 71
  • [24] Generalized symmetries of partial differential equations and quasi-exact solvability
    Sergheyev, A
    REPORTS ON MATHEMATICAL PHYSICS, 1998, 41 (03) : 279 - 286
  • [25] Conditional quasi-exact solvability of the quantum planar pendulum and of its anti-isospectral hyperbolic counterpart
    Becker, Simon
    Mirahmadi, Marjan
    Schmidt, Burkhard
    Schatz, Konrad
    Friedrich, Bretislav
    EUROPEAN PHYSICAL JOURNAL D, 2017, 71 (06):
  • [26] Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
    Dutra, AD
    GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 531 - 534
  • [27] Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations
    Dorey, Patrick
    Dunning, Clare
    Tateo, Roberto
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (44)
  • [28] Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
    Hartmann, R. R.
    Portnoi, M. E.
    PHYSICAL REVIEW A, 2014, 89 (01):
  • [29] Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry
    Sasaki, R
    Takasaki, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (44): : 9533 - 9553
  • [30] The relation between polynomial deformations of sl(2, R) and quasi-exact solvability
    Debergh, N
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (40): : 7109 - 7121
12345