The generalized non-linear Schrodinger model on the interval
High Energy Physics - Theory
2008-11-26 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The generalized (1+1)-D non-linear Schrodinger (NLS) theory with particular integrable boundary conditions is considered. More precisely, two distinct types of boundary conditions, known as soliton preserving (SP) and soliton non-preserving (SNP), are implemented into the classical NLS model. Based on this choice of boundaries the relevant conserved quantities are computed and the corresponding equations of motion are derived. A suitable quantum lattice version of the boundary generalized NLS model is also investigated. The first non-trivial local integral of motion is explicitly computed, and the spectrum and Bethe Ansatz equations are derived for the soliton non-preserving boundary conditions.
Keywords
Cite
@article{arxiv.0706.1515,
title = {The generalized non-linear Schrodinger model on the interval},
author = {Anastasia Doikou and Davide Fioravanti and Francesco Ravanini},
journal= {arXiv preprint arXiv:0706.1515},
year = {2008}
}