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arXiv · 0708.2405

PT-symmetry and Integrability

Andreas Fring
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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.

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Andreas Fring. 2007-08-17. PT-symmetry and Integrability. https://arxiv.org/abs/0708.2405

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