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Paper   IPM / Physic / 6789
School of Physics
  Title:   Exact Solution of the Dirac Equation for A Spin-1/2 Charged Particle in 2D and 3D Euclidean Spaces with Shape Invariance Symmetry
1.  H. Fakhri
2.  N. Abbasi
  Status:   Published
  Journal: J. Math. Phys.
  Vol.:  42
  Year:  2001
  Pages:   2416-2437
  Supported by:  IPM
It is shown that two types of shape invariance with respect to quantum numbers n and m lead us to solve Dirac equation for a spin−[1/2] charged particle in two-dimensional and three-dimensional Euclidean spaces in the presence of magnetic fields. Also, we introduce supersymmetry algebra and shape invariance symmetry represented by two bunches of spinors obtained from the above solutions.

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