Baxter Operators in Ruijsenaars Hyperbolic System III: Orthogonality and Completeness of Wave Functions

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-01-22 DOI:10.1007/s00023-023-01406-x

N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin

引用次数: 0

Abstract

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, equivalently, unitarity of the corresponding integral transform.

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Ruijsenaars 双曲系统中的巴克斯特算子 III：波函数的正交性和完备性

在前一篇论文中，我们证明了量子鲁伊塞纳斯双曲系统的波函数对角巴克斯特 Q 操作数。利用这一性质和对偶关系，我们证明了波函数的正交性和完备性关系，或相应积分变换的单位性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.