Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions

2023/07/31 by Belousov, N., Derkachov, S., Kharchev, S. +1 · 5 citations
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2307.16817

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.

Cited by

• Baker-Akhiezer specialisation of joint eigenfunctions for hyperbolic relativistic Calogero-Moser Hamiltonians
• Calogero-Sutherland hyperbolic system and Heckman-Opdam \mathfrakgl_n hypergeometric function
• Complex rational Ruijsenaars model. The two-particle case
• BC-type open SL(2,ℂ) spin chain
• A-Type Open \rm SL(2,ℂ) Spin Chain

Related

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• Baxter Q-operator for the hyperbolic Calogero--Moser system
• Ruijsenaars spectral transform