Fermionization, Triangularization and Integrability
Mathematical Physics
2014-09-30 v1 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
In this article, we derive the fermionic formalism of Hamiltonians as well as corresponding excitation spectrums and states of Calogero-Sutherland(CS), Laughlin and Halperin systems, respectively. In addition, we study the triangular property of these Hamiltonians and prove the integrability in these three cases.
Cite
@article{arxiv.1409.7909,
title = {Fermionization, Triangularization and Integrability},
author = {Li-Qiang Cai and Li-Fang Wang and Jian-Feng Wu and Jie Yang and Ming Yu},
journal= {arXiv preprint arXiv:1409.7909},
year = {2014}
}
Comments
34pages, 2 figures