The generalized nonlinear Schrödinger model on the interval
Abstract
The generalized (1+1)D nonlinear Schrödinger (NLS) theory with particular integrable boundary conditions is considered. More precisely, two distinct types of boundary conditions, known as soliton preserving (SP) and soliton nonpreserving (SNP), are implemented into the classical gl 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 nontrivial local integral of motion is explicitly computed, and the spectrum and Bethe ansatz equations are derived for the soliton nonpreserving boundary conditions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2008
 DOI:
 10.1016/j.nuclphysb.2007.08.007
 arXiv:
 arXiv:0706.1515
 Bibcode:
 2008NuPhB.790..465D
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 33 pages, Latex. Minor misprints corrected