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The classical nonlinear Schrödinger model with a new integrable boundary

Zambon, C.

The classical nonlinear Schrödinger model with a new integrable boundary Thumbnail


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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
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
Related Public URLs https://arxiv.org/abs/1405.0967v2

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© The Author(s) 2014 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.




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