q-Boson in Quantum Integrable Systems
Exactly Solvable and Integrable Systems
2008-04-24 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative NLS model, wide range of q-deformed matter-radiation models, q-anyon model etc. Result on a new exactly solvable interacting anyon gas, linked to q-anyons on the lattice is reported.
Cite
@article{arxiv.nlin/0701030,
title = {q-Boson in Quantum Integrable Systems},
author = {Anjan Kundu},
journal= {arXiv preprint arXiv:nlin/0701030},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/