PT-symmetry and Integrability
arXiv:0708.2405
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.
Proceeding of the Micro conference Analytic and algebraic methods II, Doppler Institute, Prague, April 2007