Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Kharchev, S."'
Publikováno v:
Questions of quantum field theory and statistical physics. 28, Zap. Nauchn. Sem. POMI, 520 (2023), 50-123
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 particular that eigenfunctions of these systems admit two dual integ
Externí odkaz:
http://arxiv.org/abs/2309.06108
We introduce and study a new family of commuting Baxter operators in the Ruijsenaars hyperbolic system, different from that considered by us earlier. Using a degeneration of Rains integral identity we verify the commutativity between the two families
Externí odkaz:
http://arxiv.org/abs/2308.07619
In the previous paper we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this property and duality relation we prove orthogonality and completeness relations for the wave functions or,
Externí odkaz:
http://arxiv.org/abs/2307.16817
In the previous paper we introduced a commuting family of Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. In the present work we show that the wave functions of the quantum system found by M. Halln\"as and S. Ruijsenaars also diagon
Externí odkaz:
http://arxiv.org/abs/2303.06382
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 Macdonald difference operators, which are gauge equivalent to the Ruijsenaars H
Externí odkaz:
http://arxiv.org/abs/2303.06383
We present and prove hypergeometric identities which play a crucial role in the theory of Baxter operators in the Ruijsenaars model.
Comment: arXiv admin note: substantial text overlap with arXiv:2303.06383
Comment: arXiv admin note: substantial text overlap with arXiv:2303.06383
Externí odkaz:
http://arxiv.org/abs/2303.07350
Autor:
Kharchev, S., Khoroshkin, S.
Recently we found Mellin-Barnes integrals, representing the wave function for $GL(n,\mathbb{R})$ hyperbolic Sutherland model. In present paper, we establish bispectral properties of this wave function with respect to dual Ruijesenaars-Macdonald opera
Externí odkaz:
http://arxiv.org/abs/2108.05393
Autor:
Kharchev, S., Khoroshkin, S.
We obtain certain Mellin-Barnes integrals which present wave functions for $GL(n,\mathbb{R})$ hyperbolic Sutherland model with arbitrary positive coupling constant.
Comment: 13 pages, Some comments and references are addeed
Comment: 13 pages, Some comments and references are addeed
Externí odkaz:
http://arxiv.org/abs/2108.04895
Publikováno v:
In Journal of Algebra 15 January 2024 638:918-930
Autor:
Kharchev, S., Khoroshkin, S.
Publikováno v:
Advances in Mathematics, 375, 2020, 107368
We obtain certain Mellin-Barnes integrals which present Whittaker wave functions related to classical real split forms of simple complex Lie groups.
Comment: 49 pages
Comment: 49 pages
Externí odkaz:
http://arxiv.org/abs/1907.00637