Abstract
The Calogero-Moser model, the Calogero model and the Sutherland model describe quantum integrable particle systems with long-range interactions and have attracted considerable interest. We explicitly give the solution of the Cauchy problem for the two-body problem of each of the Calogero-Moser model and the Calogero model. To this end we regard the solution u(t, ·) as an analytic function of time t and construct both a generalized Fourier cosine transform and a generalized Fourier sine transform. Moreover, we show an embedding theorem of Sobolev type as another application of these transforms.
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Watanabe, S. (2001). The Calogero-Moser Model, the Calogero Model and Analytic Extension. In: Saitoh, S., Hayashi, N., Yamamoto, M. (eds) Analytic Extension Formulas and their Applications. International Society for Analysis, Applications and Computation, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3298-6_16
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DOI: https://doi.org/10.1007/978-1-4757-3298-6_16
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