Geodesic
Scattering of clusters in quantum calogero model
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 341-347 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is well known that scattering of particles in the Calogero model, which recently drew attention in connection with $c=1$ strings and integrable models in statistical mechanics, is reduced to two-particle collisions. It follows from Harish-Chandra and Gindikin–Karpelevich results, related to the harmonic analysis on simple Lie groups. Unfortunately their formulae don't work if particles form clusters in the asymptotics. We reformulate their results in a form which allows to apply them to this situation. The scattering of clusters is also factorizible, but depends on structures of constituents. In conclusion we discuss a similar problem in the deformed Calogero model related to quantum groups, which describes also interactions of excited states in the XXZ-model. 
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     author = {M. A. Olshanetsky},
     title = {Scattering of clusters in quantum calogero model},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a16/}
}
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M. A. Olshanetsky. Scattering of clusters in quantum calogero model. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 341-347. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a16/

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