The generalized non-linear Schrödinger model on the interval

Anastasia Doikou, Davide Fioravanti, Francesco Ravanini

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 $gl_N$ 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.
Original languageEnglish
Pages (from-to)465–492
Number of pages28
JournalNuclear Physics B
Volume790
Issue number3
DOIs
Publication statusPublished - 21 Feb 2008

Keywords

  • hep-th
  • math-ph
  • math.MP
  • nlin.SI

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