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Exact solutions of Dirac equation on a 2D gravitational background

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arxiv gr-qc/0208053 v2 pith:N476RPC5 submitted 2002-08-19 gr-qc hep-th

Exact solutions of Dirac equation on a 2D gravitational background

S. K. Moayedi , F. Darabi This is my paper
classification gr-qc hep-th
keywords diracequationexactsupersymmetricadmitbackgroundbackgroundscase
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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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