Grassmann-Gaussian integrals and generalized star products
Mathematical Physics
2009-08-27 v1 math.MP
Abstract
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matrices valid in other physical contexts. In this article, we show how this composition rule is obtained using Berezin integration theory with Grassmann variables.
Keywords
Cite
@article{arxiv.0904.2683,
title = {Grassmann-Gaussian integrals and generalized star products},
author = {Sh. Khachatryan and R. Schrader and A. Sedrakyan},
journal= {arXiv preprint arXiv:0904.2683},
year = {2009}
}
Comments
14 pages, 2 figures. In memory of Al.B. Zamolodichikov