English

Transparent Dirac potentials in one dimension: the time-dependent case

High Energy Physics - Theory 2014-01-01 v1 Strongly Correlated Electrons High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems

Abstract

We generalize the original derivation of transparent, static Schroedinger potentials by Kay and Moses, to obtain a large class of time-dependent transparent Dirac potentials in one spatial dimension. They contain all known transparent potentials as special cases and play a key role in the semi-classical solution of 1+1 dimensional, fermionic quantum field theories of Gross-Neveu and Nambu-Jona-Lasinio type.

Keywords

Cite

@article{arxiv.1308.5801,
  title  = {Transparent Dirac potentials in one dimension: the time-dependent case},
  author = {Gerald V. Dunne and Michael Thies},
  journal= {arXiv preprint arXiv:1308.5801},
  year   = {2014}
}

Comments

9 pages, no figure

R2 v1 2026-06-22T01:15:35.426Z