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On the $$R$$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operatorsстатья
- Авторы: Matushko M.G., Zotov A.V.
- Журнал: Theoretical and Mathematical Physics
- Том: 213
- Номер: 2
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1543
- Последняя страница: 1559
- DOI: 10.1134/s0040577922110046
- Аннотация: We propose and prove a set of identities for the elliptic GLM R-matrix (in the fundamental representation). In the scalar case (M=1), these are elliptic function identities derived by Ruijsenaars as necessary and sufficient conditions for his kernel identity underlying the construction of integral solutions of quantum spinless Ruijsenaars–Schneider model. In this respect, our result can be regarded as a first step toward constructing solutions of the quantum eigenvalue problem for the anisotropic spin Ruijsenaars model.
- Добавил в систему: Арыджан Юлия Абдуррахмановна