Unifying quantization for inhomogeneous integrable models
Exactly Solvable and Integrable Systems
2009-11-11 v2 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Integrable inhomogeneous versions of the models like NLS, Toda chain, Ablowitz-Ladik model etc., though well known at the classical level, have never been investigated for their possible quantum extensions. We propose a unifying scheme for constructing and solving such quantum integrable inhomogeneous models including a novel inhomogeneous sine-Gordon model, which avoids the difficulty related to the customary non-isospectral flow by introducing the inhomogeneities through some central elements of the underlying algebra.
Cite
@article{arxiv.nlin/0508005,
title = {Unifying quantization for inhomogeneous integrable models},
author = {Anjan Kundu},
journal= {arXiv preprint arXiv:nlin/0508005},
year = {2009}
}
Comments
12 pages, no figure, latex. Two new chapters on general inhom. trigonometric models and inhom. SG model included. Accepted in Phys.Lett.B