Dynamics of electrons and explicit solutions of Dirac-Weyl systems

Abstract

Explicit solutions of Dirac-Weyl system, which is 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 were considered before. It is proved that neither constructed potentials nor corresponding solutions have singularities. Various examples are provided.

References in corpus (1)

• Dynamical canonical systems and their explicit solutions

Cited by in corpus (3)

• Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches
• On new classes of explicit solutions of Dirac, dynamical Dirac and Dirac--Weyl systems with non-vanishing at infinity potentials, their properties and applications
• Continuous and discrete dynamical Schrödinger systems: explicit solutions