Ruijsenaars 双曲系统中的巴克斯特算子 IV：耦合常数反射对称性

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-04-16 DOI:10.1007/s00220-024-04952-5

Nikita Belousov, Sergey Derkachov, Sergey Kharchev, Sergey Khoroshkin

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引用次数: 0

摘要

我们引入并研究了 Ruijsenaars 双曲系统中一个新的换向巴克斯特算子族，它不同于我们之前考虑过的算子族。利用雷恩斯积分的退化特性，我们验证了两个巴克斯特算子族之间的换向性，并探讨了这一事实对波函数耦合常数对称性的证明作用。我们还建立了新巴克斯特算子与努米-萨诺差分算子之间的联系。

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Baxter Operators in Ruijsenaars Hyperbolic System IV: Coupling Constant Reflection Symmetry

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 of Baxter operators and explore this fact for the proof of the coupling constant symmetry of the wave function. We also establish a connection between new Baxter operators and Noumi–Sano difference operators.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.