Minimal length and generalized Dirac equation

@article{Nozari2005MinimalLA,
  title={Minimal length and generalized Dirac equation},
  author={Kourosh Nozari and Mojdeh Karami},
  journal={Modern Physics Letters A},
  year={2005},
  volume={20},
  pages={3095-3103}
}
Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime fluctuation, it is impossible to have free particle in Planck scale. 
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