PT-symmetry and Integrability
Quantum Physics
2008-04-17 v1 High Energy Physics - Theory
Abstract
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry which explain the reality of the spectrum of some non-Hermitian Hamiltonians. Subsequently we employ PT-symmetry as a guiding principle to construct deformations of some integrable systems, the Calogero-Moser-Sutherland model and the Korteweg deVries equation. Some properties of these models are discussed.
Cite
@article{arxiv.0708.2405,
title = {PT-symmetry and Integrability},
author = {Andreas Fring},
journal= {arXiv preprint arXiv:0708.2405},
year = {2008}
}
Comments
Proceeding of the Micro conference Analytic and algebraic methods II, Doppler Institute, Prague, April 2007