English

Wave propagation in periodic lattices with defects of smaller dimension

Mathematical Physics 2013-05-21 v1 math.MP

Abstract

The procedure of evaluating of the spectrum for discrete periodic operators perturbed by operators of smaller dimensions is obtained. This result allows to obtain propagative, guided, localised spectra for different kind of physical operators on graphs with defects.

Keywords

Cite

@article{arxiv.1305.4568,
  title  = {Wave propagation in periodic lattices with defects of smaller dimension},
  author = {A. A. Kutsenko},
  journal= {arXiv preprint arXiv:1305.4568},
  year   = {2013}
}