We introduce Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. We prove
that they represent a commuting family of integral operators and also commute with …

In these notes we review the technique of Baxter Q-operators in the Ruijsenaars-Sutherland
hyperbolic systems in the cases of one and two particles. Using these operators we show in …

In a previous paper, we introduced and developed a recursive construction of joint
eigenfunctions for the Hamiltonians of the hyperbolic relativistic Calogero–Moser system …

We observe that the linearization coefficients for Gegenbauer polynomials are the
orthogonality weights for Racah polynomials with special parameters. Then it turns out that …

In recent work on superconformal quantum field theories, Razamat arrived at elliptic kernel
identities of a new and striking character: they relate solely to the root systems A 2 and A 3 …

We introduce a $ Q $-operator $\mathcal {Q} _z $ for the hyperbolic Calogero--Moser system
as a one-parameter family of explicit integral operators. We establish the standard properties …

Работа посвящена исследованию трех квантовых интегрируемых систем:
гиперболической системы Руйсенаарса, гиперболической системы Сазерленда и …

In these notes we review the technique of Baxter Q-operators in the Ruijsenaars–Sutherland
hyperbolic systems in the cases of one and two particles. Using these operators we show in …