Deformation of two body quantum Calogero-Moser-Sutherland models
Kenji Taniguchi
TL;DR
This paper investigates the deformation possibilities of two-body quantum Calogero-Moser-Sutherland models, deriving conditions for their singular loci and explicitly constructing a new elliptic B2 type deformation.
Contribution
It provides necessary conditions for the singular locus and introduces a novel deformation of the elliptic B2 type Calogero-Moser-Sutherland model.
Findings
Necessary conditions for the singular locus are derived.
Explicit construction of a new elliptic B2 deformation.
Singular locus determined for configurations with two to four lines.
Abstract
The possibility of deformation of two body quantum Calogero-Moser-Sutherland models is studied. Obtained are some necessary conditions for the singular locus of the potential function. Such locus is determined if it consists of two, three or four lines. Furthermore, a new deformation of elliptic type Calogero-Moser-Sutherland model is explicitly constructed.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra