Solution of the relativistic Dirac-Morse problem

被引:96
作者
Alhaidari, AD [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia
关键词
D O I
10.1103/PhysRevLett.87.210405
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Dirac equation for a charged particle in a static electromagnetic field is written for the special case of a spherically symmetric potential. Besides the well-known Dirac-Coulomb and Dirac-oscillator potentials, we obtain a relativistic version of the. S-wave Morse potential. This is accomplished by adding a simple exponential potential term to the Dirac operator, which in the nonrelativistic limit reproduces the usual Morse potential. The relativistic bound-states spectrum and spinor wave functions are obtained.
引用
收藏
页码:210405 / 1
页数:4
相关论文
共 12 条
  • [1] Relativistic J-matrix theory of scattering -: art. no. 062708
    Alhaidari, AD
    Yamani, HA
    Abdelmonem, MS
    [J]. PHYSICAL REVIEW A, 2001, 63 (06): : 12
  • [2] [Anonymous], CLASSICAL MECH
  • [3] BENITEZ J, 1990, PHYS REV LETT, V64, P1643, DOI 10.1103/PhysRevLett.64.1643
  • [4] REMARKS ON RELATIVISTIC KEPLER PROBLEM
    BIEDENHARN, LC
    [J]. PHYSICAL REVIEW, 1962, 126 (02): : 845 - &
  • [5] MAPPING OF SHAPE INVARIANT POTENTIALS UNDER POINT CANONICAL-TRANSFORMATIONS
    DE, R
    DUTT, R
    SUKHATME, U
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (13): : L843 - L850
  • [6] ALGEBRAIC PROPERTIES OF THE DIRAC OSCILLATOR
    DELANGE, OL
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (03): : 667 - 677
  • [7] A simpler solution of the Dirac equation in a Coulomb potential
    Goodman, B
    Ignjatovic, SR
    [J]. AMERICAN JOURNAL OF PHYSICS, 1997, 65 (03) : 214 - 221
  • [8] MAGNUS W, 1966, FORMULAS THEOREMS SP, P239
  • [9] THE DIRAC OSCILLATOR
    MOSHINSKY, M
    SZCZEPANIAK, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17): : L817 - L819
  • [10] The Dirac oscillator. A relativistic version of the Jaynes-Cummings model
    Rozmej, P
    Arvieu, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (28): : 5367 - 5382