The generalized non-linear Schrodinger model on the interval

dc.creatorDoikou, Anastasia
dc.creatorFioravanti, Davide
dc.creatorRavanini, Francesco
dc.date2007-06-11
dc.date2008-01-02
dc.date.accessioned2026-07-07T10:56:10Z
dc.date.available2026-07-07T10:56:10Z
dc.descriptionThe 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 $gl_N$ 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.
dc.description33 pages, Latex. Minor misprints corrected
dc.identifierhttps://arxiv.org/abs/0706.1515
dc.identifierhttp://arxiv.org/abs/0706.1515
dc.identifierNucl.Phys.B790:465-492,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.08.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186323
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe generalized non-linear Schrodinger model on the interval
dc.typetext

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