The classical nonlinear Schrödinger model with a new integrable boundary

Zambon, C.

Abstract

A new integrable boundary for the classical nonlinear Schrödinger model is derived by dressing a boundary with a defect. A complete investigation of the integrability of the new boundary is carried out in the sense that the boundary K matrix is derived and the integrability is proved via the classical r-matrix. The issue of conserved charges is also discussed. The key point in proving the integrability of the new boundary is the use of suitable modified Poisson brackets. Finally, concerning the kind of defect used in the present context, this investigation offers the opportunity to prove — beyond any doubts — their integrability.

Citation

Zambon, C. (2014). The classical nonlinear Schrödinger model with a new integrable boundary. Journal of High Energy Physics, 2014(08), Article 036. https://doi.org/10.1007/jhep08%282014%29036

• Journal Article Type: Article
• Acceptance Date: Jul 14, 2014
• Online Publication Date: Aug 7, 2014
• Publication Date: Aug 7, 2014
• Deposit Date: Jun 21, 2018
• Publicly Available Date: Jun 28, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2014
• Issue: 08
• Article Number: 036
• DOI: https://doi.org/10.1007/jhep08%282014%29036
• Public URL: https://durham-repository.worktribe.com/output/1356585
• Related Public URLs: https://arxiv.org/abs/1405.0967v2