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PT-symmetry and Integrability

Fring, A. (2007). PT-symmetry and Integrability. Acta Polytechnica, 47, pp. 44-49.

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 Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/778
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