Dynamics of electrons and explicit solutions of Dirac–Weyl systems

@article{Sakhnovich2016DynamicsOE,
  title={Dynamics of electrons and explicit solutions of Dirac–Weyl systems},
  author={Alexander L. Sakhnovich},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2016},
  volume={50}
}
  • A. Sakhnovich
  • Published 12 September 2016
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
Explicit solutions of the Dirac–Weyl system, which are essential in graphene studies, are constructed using our recent approach to the construction of solutions of dynamical systems. The obtained classes of solutions are much wider than the ones which have been considered before. It is proved that neither the constructed potentials nor the corresponding solutions have singularities. Various examples are provided. 
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