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From real fields to complex Calogero particles

Assis, P. E. G. and Fring, A. (2009). From real fields to complex Calogero particles. Journal of Physics A: Mathematical and General, 42(42), doi: 10.1088/1751-8113/42/42/425206

Abstract

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 analyse this phenomenon in more detail for the two- and three-particle cases. Particular attention is paid to the implementation of PT-symmetry for the complex multi-particle systems. New complex PT-symmetric Calogero systems together with their classical solutions are derived.

Publication Type: Article
Publisher Keywords: NON-HERMITIAN HAMILTONIANS, 3-BODY SCATTERING PROBLEM, DE-VRIES EQUATION, ONE DIMENSION, BODY PROBLEM, MODEL, DEFORMATIONS, SOLITONS, SYSTEMS, FLUIDS
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/772
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