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arXiv · 0903.4670

Particles versus fields in PT-symmetrically deformed integrable systems

Andreas Fring
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Abstract

We review some recent results on how PT-symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex valued multi-particle systems, such as deformations of the Calogero-Moser-Sutherland models, are shown to arise naturally from real valued field equations of non-linear integrable systems. Deformations of complex non-linear integrable field equations, some of them even allowing for compacton solutions, are also investigated. The integrabilty of various systems is established by means of the Painleve test

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Andreas Fring. 2009-03-26. Particles versus fields in PT-symmetrically deformed integrable systems. https://doi.org/10.1007/s12043-009-0128-2

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