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.

Publication Type:	Article
Additional Information:	Proceeding of the Micro conference Analytic and algebraic methods II, Doppler Institute, Prague, April 2007
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics

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