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Paper   IPM / Physic / 6786
School of Physics
  Title:   Solution of the Dirac Equation on the Homogeneous Manifold SL(2,c)/GL(1,c) in The Presence of A Magnetic Monopole Field
  Author(s):  H. Fakhri
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  33
  Year:  2000
  Pages:   293-305
  Supported by:  IPM
Equations of shape invariance have been derived on the homogeneous manifold SL(2,c)/GL(1,c), by means of which the Dirac equation is solved for a charged spin−[1/2] particle in the presence of a magnetic monopole. The Dirac spinors on this manifold are written in terms of the master function. It is shown that these spinors represent an N=1 chiral supersymmetry algebra and a unitary parasuperalgebra of arbitrary order p.

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