A. Zotov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Integrable open elliptic Toda chain with boundaries2026
• Elliptic Ruijsenaars-Toda and elliptic Toda chains: classical r-matrix structure and relation to XYZ chain2026
• Классическая эллиптическая модель Руйсенаарса-ван Диена типа $BC_1$: связь с гиростатом Жуковского-Вольтерры и с классической $XYZ$-моделью на одном узле с границей2026
• R-matrix valued Lax pair for elliptic Calogero–Inozemtsev system and associative Yang–Baxter equations of $$\textrm{BC}_n$$ type2026
• R-matrix valued Lax pair for elliptic Calogero–Inozemtsev system and associative Yang–Baxter equations of $$\textrm{BC}_n$$ type2026
• Spectral duality in integrable systems from AGT conjecture2016 · аннотациясвернуть

  We describe relationships between integrable systems with N degrees of freedom arising from the Alday-Gaiotto-Tachikawa conjecture. Namely, we prove the equivalence (spectral duality) between the N-cite Heisenberg spin…

• Spectrum of quantum transfer matrices via classical many-body systems2014 · аннотациясвернуть

  In this paper we clarify the relationship between inhomogeneous quantum spin chains and classical integrable many-body systems. It provides an alternative (to the nested Bethe ansatz) method for computation of spectra…

• Relativistic classical integrable tops and quantum R-matrices2014 · аннотациясвернуть

  We describe classical top-like integrable systems arising from the quantum exchange relations and corresponding Sklyanin algebras. The Lax operator is expressed in terms of the quantum non-dynamical R-matrix even at the…