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Classes of exact wavefunctions for general time-dependent Dirac Hamiltonians in 1+1 dimensions

High Energy Physics - Theory 2009-11-10 v1 Quantum Physics

Abstract

In this work we construct two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions. Some problems regarding to some formal solutions in the literature are discussed. Finally the existence of a generalized Lewis-Riesenfeld invariant connected with such solutions is discussed.

Keywords

Cite

@article{arxiv.hep-th/0304016,
  title  = {Classes of exact wavefunctions for general time-dependent Dirac Hamiltonians in 1+1 dimensions},
  author = {A. S. de Castro and A. de Souza Dutra},
  journal= {arXiv preprint arXiv:hep-th/0304016},
  year   = {2009}
}