English

Coherent Schwinger Interaction from Darboux Transformation

High Energy Physics - Theory 2009-08-10 v6

Abstract

The exactly solvable scalar-tensor potential of the four-component Dirac equation has been obtained by the Darboux transformation method. The constructed potential has been interpreted in terms of nucleon-nucleon and Schwinger interactions of neutral particles with lattice sites during their channeling Hamiltonians of a Schwinger type is obtained by means of the Darboux transformation chain. The analitic structure of the Lyapunov function of periodic continuation for each of the Hamiltonians of the family is considered.

Keywords

Cite

@article{arxiv.0708.4000,
  title  = {Coherent Schwinger Interaction from Darboux Transformation},
  author = {Ekaterina Pozdeeva},
  journal= {arXiv preprint arXiv:0708.4000},
  year   = {2009}
}

Comments

12 pages, Latex, six figures; six sections, one figure added

R2 v1 2026-06-21T09:11:58.870Z