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Paper   IPM / Physic / 7293
School of Physics
  Title:   Exact Solutions of Dirac Equation on A 2D Gravitational Background
1.  F. Darabi
2.  S.K. Moayedi
  Status:   Published
  Journal: Phys. Lett. A
  No.:  3-4
  Vol.:  322
  Year:  2004
  Pages:   273-178
  Supported by:  IPM
We obtain classes of two dimensional static Lorentzian manifolds, which through the supersymmetric formalism of quantum mechanics admit the exact solvability of Dirac equation on these curved backgrounds. Specially in the case of a modified supersymmetric harmonic oscillator the wave function and energy spectrum of Dirac equation is given explicitly.

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