Higher order addition laws on Abelian varieties and the fractional quantum Hall effect
Mathematical Physics
2016-08-16 v1 Algebraic Geometry
math.MP
Abstract
Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional many-electron system under periodic conditions.
Keywords
Cite
@article{arxiv.math-ph/0212066,
title = {Higher order addition laws on Abelian varieties and the fractional quantum Hall effect},
author = {Juan Mateos Guilarte and José María Muñoz Porras},
journal= {arXiv preprint arXiv:math-ph/0212066},
year = {2016}
}
Comments
23 pages. To appear in Journal of Geometry and Physics