On algebraic integrability of the deformed elliptic Calogero-Moser problem
L. A. Khodarinova, I. A. Prikhodsky
TL;DR
This paper proves the algebraic integrability of a deformed elliptic Calogero-Moser quantum problem associated with A_2(2) root systems and provides explicit formulas for its integrals.
Contribution
It establishes algebraic integrability for a specific deformed elliptic Calogero-Moser system and derives explicit integral formulas, advancing understanding of integrable quantum models.
Findings
Proved algebraic integrability of the deformed elliptic Calogero-Moser problem.
Derived explicit formulas for integrals of the system.
Connected integrability to deformed root systems A_2(2).
Abstract
Algebraic integrability of the elliptic Calogero-Moser quantum problem related to the deformed root systems A_2(2) is proved. Explicit formulae for integrals are found.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Algebra and Geometry