Physics – Quantum Physics
Scientific paper
2007-08-17
Acta Polytechnica 47 (2007) 44-49
Physics
Quantum Physics
Proceeding of the Micro conference Analytic and algebraic methods II, Doppler Institute, Prague, April 2007
Scientific paper
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.
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