From real fields to complex Calogero particles

Details From real fields to complex Calogero particles From real fields to complex Calogero particles

2009-07-06

arxiv.org/abs/0907.1079v1

J. Phys. A: Math. Theor. 42 (2009) 425206 (14pp)

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures

Scientific paper

10.1088/1751-8113/42/42/425206

We provide a novel procedure to obtain complex PT-symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilities for complex systems to arise from real nonlinear field equations. We exemplify this procedure for the Boussinesq equation and demonstrate how singularities in real valued wave solutions can be interpreted as N complex particles scattering amongst each other. We analyze this phenomenon in more detail for the two and three particle case. Particular attention is paid to the implemention of PT-symmetry for the complex multi particle systems. New complex PT-symmetric Calogero systems together with their classical solutions are derived.

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