Particles versus fields in PT-symmetrically deformed integrable systems
High Energy Physics - Theory
2010-11-02 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review some recent results on how PT-symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex valued multi-particle systems, such as deformations of the Calogero-Moser-Sutherland models, are shown to arise naturally from real valued field equations of non-linear integrable systems. Deformations of complex non-linear integrable field equations, some of them even allowing for compacton solutions, are also investigated. The integrabilty of various systems is established by means of the Painleve test
Cite
@article{arxiv.0903.4670,
title = {Particles versus fields in PT-symmetrically deformed integrable systems},
author = {Andreas Fring},
journal= {arXiv preprint arXiv:0903.4670},
year = {2010}
}
Comments
Conference Proceeding PHHQP VIII (Mumbai, 2009)