CORDIS Project
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This project explores advanced quantum models related to the Calogero-Moser-Sutherland family, focusing on constructing exact eigenfunctions and studying integrable deformations. It aims to establish connections between these models and Painlevé hierarchies, enhancing the understanding of special functions in theoretic…
The proposal studies relativistic generalizations of quantum integrable models of Calogero-Moser-Sutherland (CMS) type and their deformations, and the correspondence between the CMS models and the Painlevé hierarchies.
It is divided into several parts.
The first part investigates the van Diejen model (which is the most complicated model in the CMS family) and its sophisticated limiting case proposed by Takemura.
The aim is to construct exact eigenfunctions of these two models using the kernel f…
UNIVERSITY OF LEEDS
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