The generalized (1+1)-D non-linear 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 non-preserving (SNP), are implemented into the classical gl(N) 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.
A. Doikou, D. Fioravanti, F. Ravanini (2008). The generalized non-linear Schrödinger model on the interval. NUCLEAR PHYSICS. B, B790 [PM], 465-492 [10.1016/j.nuclphysb.2007.08.007].
The generalized non-linear Schrödinger model on the interval
RAVANINI, FRANCESCO
2008
Abstract
The generalized (1+1)-D non-linear 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 non-preserving (SNP), are implemented into the classical gl(N) 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
