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arXiv · 2510.11403

Jost solutions and direct scattering for the continuum Calogero-Moser equation

Rupert L. Frank·Larry Read
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Abstract

We propose an inverse scattering transform for the continuum Calogero-Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated Jost solutions and introducing a distorted Fourier transform, as well as deriving trace formulas for the eigenvalues of the Lax operator.

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Rupert L. Frank, Larry Read. 2025-10-13. Jost solutions and direct scattering for the continuum Calogero-Moser equation. https://arxiv.org/abs/2510.11403

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