su(1,1) algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D+1 dimensions

被引：11
|
作者：
Salazar-Ramirez, M. [1 ]
Martinez, D. [2 ]
Mota, R. D. [3 ]
Granados, V. D. [1 ]
机构：
[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico
[2] Univ Autonoma Ciudad Mexico, Mexico City 07160, DF, Mexico
[3] Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Unidad Culhuacan, Mexico City 04430, DF, Mexico
来源：
EPL | 2011年 / 95卷 / 06期
关键词：
RELATIVISTIC HYDROGEN-ATOM; UNIFIED TREATMENT; LADDER OPERATORS; SUSY-QM; SUPERSYMMETRY;
D O I：
10.1209/0295-5075/95/60002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the Dirac equation with Coulomb-type vector and scalar potentials in D+1 dimensions from an su(1, 1) algebraic approach. The generators of this algebra are constructed by using the Schrodinger factorization. The theory of unitary representations for the su(1, 1) Lie algebra allows us to obtain the energy spectrum and the supersymmetric ground state. For the cases where there exists either scalar or vector potential our results are reduced to those obtained by analytical techniques. Copyright (C) EPLA, 2011
引用
收藏
页数：6
相关论文
共 50 条
  • [1] SU(1,1) coherent states for Dirac-Kepler-Coulomb problem in D+1 dimensions with scalar and vector potentials
    Ojeda-Guillen, D.
    Mota, R. D.
    Granados, V. D.
    PHYSICS LETTERS A, 2014, 378 (40) : 2931 - 2937
  • [2] Dirac equation with a Coulomb plus scalar potential in D+1 dimensions
    Dong, SH
    Sun, GH
    Lozada-Cassou, M
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2005, 102 (02) : 147 - 157
  • [3] Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions
    Dong, SH
    Sun, GH
    Popov, D
    JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (10) : 4467 - 4479
  • [4] On the Dirac equation with a Coulomb potential in D+1 dimensions
    Dong, SH
    PHYSICA SCRIPTA, 2003, 67 (05) : 377 - 380
  • [5] Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions
    Gu, XY
    Ma, ZQ
    Dong, SH
    INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2002, 11 (04) : 335 - 346
  • [6] ON THE SUPERSYMMETRY OF THE DIRAC-KEPLER PROBLEM PLUS A COULOMB-TYPE SCALAR POTENTIAL IN (D+1) DIMENSIONS AND THE GENERALIZED LIPPMANN-JOHNSON OPERATOR
    Martinez, D.
    Salazar-Ramirez, M.
    Mota, R. D.
    Granados, V. D.
    MODERN PHYSICS LETTERS A, 2013, 28 (11)
  • [7] 1D Schrodinger equations with Coulomb-type potentials
    Reyes, JA
    del Castillo-Mussot, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (10): : 2017 - 2025
  • [8] An su(1,1) algebraic approach for the relativistic Kepler-Coulomb problem
    Salazar-Ramirez, M.
    Martinez, D.
    Mota, R. D.
    Granados, V. D.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (44)
  • [9] ON EUCLIDEAN CONNECTIONS FOR SU(1,1), SU(Q)(1,1) AND THE ALGEBRAIC APPROACH TO SCATTERING
    HATEGAN, C
    IONESCU, RA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (07): : 2095 - 2100
  • [10] SHIFTED 1/N EXPANSION FOR THE DIRAC-EQUATION FOR VECTOR AND SCALAR POTENTIALS
    ROY, B
    ROYCHOUDHURY, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15): : 3555 - 3561
12345