3 papers
nlin.SI2026
Low-dimensional tori in Calogero-Moser-Sutherland systems
Andrii Liashyk, Guorui Ma, Nicolai Reshetikhin +1
The main result of this paper is an explicit description of the stratification of the phase space of Calogero--Moser--Sutherland (CMS) integrable systems corresponding to Lie group…
math-ph2025
Quantum Integrable Systems on a Classical Integrable Background
Andrii Liashyk, Nicolai Reshetikhin, Ivan Sechin
In this paper, we develop the framework for quantum integrable systems on an integrable classical background. We call them hybrid quantum integrable systems (hybrid integrable syst…
math-ph2024
Ruijsenaars duality for B, C, D Toda chains
Ivan Sechin, Mikhail Vasilev
We use the Hamiltonian reduction method to construct the Ruijsenaars dual systems to generalized Toda chains associated with the classical Lie algebras of types . The dual…