Dynamics of electrons and explicit solutions of DiracWeyl systems
Abstract
Explicit solutions of the DiracWeyl 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 2017
 DOI:
 10.1088/17518121/aa5bc3
 arXiv:
 arXiv:1609.03451
 Bibcode:
 2017JPhA...50k5201S
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Mathematics  Dynamical Systems;
 35Q41;
 74H05;
 78A35
 EPrint:
 J. Phys. A: Math. Theor. 50 (2017) 115201