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arxiv: 0708.2405 · v1 · submitted 2007-08-17 · 🪐 quant-ph · hep-th

PT-symmetry and Integrability

classification 🪐 quant-ph hep-th
keywords somept-symmetryexplainargumentsbrieflycalogero-moser-sutherlandconstructdeformations
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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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