3 papers
nlin.SI2026
Integrability of the deformed Toda systems
Mikhail Vasilev
In 2020 M. Mucciconi and L. Petrov introduced a long-range deformation of the quantum open non-relativistic Toda system. We prove the integrability of the deformed Toda system by c…
math-ph2025
Generalised spin Calogero-Moser systems from Cherednik algebras
Misha Feigin, Mikhail Vasilev, Martin Vrabec
Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 199…
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…