Электронный каталог

Статья

Belousov, N.M.
Complex Rational Ruijenaars Model. The Two-Particle Case / N.M.Belousov, G.A.Sarkissian, V.P.Spiridonov. – Text : electronic // Natural Science Review. – 2025. – Vol. 2, No. 5. – P. 100503. – URL: https://doi.org/10.54546/NaturalSciRev.100503. – Bibliogr.: 47.

We consider a complex rational degeneration of the hyperbolic Ruijsenaars model emerging in the limit ω&sub(1) + ω&sub(2) → 0 (or b → i in 2d CFT) and investigate the two-particle case in detail. Corresponding wave functions are described by complex hypergeometric functions in the Mellin–Barnes representation. Their dual integral representation and reflection symmetry in the coupling constant are established. Besides, a complex limit of the hyperbolic Baxter Q-operators is considered. Another complex degeneration of the hyperbolic Ruijsenaars model is obtained by taking a special ω&sub(1) − ω&sub(2) → 0 (or b → 1) limit. Additionally, two new degenerations to the complex Calogero–Sutherland type models are described.



ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = С 323 б - Квантовые алгебры. Суперсимметричная квантовая механика. Парастатистики . Анионы. Прочие схемы квантования