Classical and Quantum Integrability in Laplacian Growth
Pattern Formation and Solitons
2015-06-05 v1 Soft Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review here particular aspects of the connection between Laplacian growth problems and classical integrable systems. In addition, we put forth a possible relation between quantum integrable systems and Laplacian growth problems. Such a connection, if confirmed, has the potential to allow for a theoretical prediction of the fractal properties of Laplacian growth clusters, through the representation theory of conformal field theory.
Keywords
Cite
@article{arxiv.1506.01463,
title = {Classical and Quantum Integrability in Laplacian Growth},
author = {Eldad Bettelheim},
journal= {arXiv preprint arXiv:1506.01463},
year = {2015}
}