Propagators in two-dimensional lattices
Quantum Physics
2013-06-04 v1 Other Condensed Matter
Mathematical Physics
math.MP
Abstract
This paper is devoted to the computation of discrete propagators in two-dimensional crystals and their application to a number of time dependent problems. The methods to compute such kernels are provided by a tight-binding representation of Dirac matrices and the generalizations of Bessel functions. Diffusive effects of point-like distributions on crystalline sheets are studied in a second quantization scheme. In the last part, a compendium of propagators is presented. The cases of square, triangular and hexagonal arrays are covered.
Cite
@article{arxiv.1306.0261,
title = {Propagators in two-dimensional lattices},
author = {Emerson Sadurní},
journal= {arXiv preprint arXiv:1306.0261},
year = {2013}
}
Comments
44 pages, 9 figures, 2 tables