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

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arxiv 2307.16817 v1 pith:GNSZPBR4 submitted 2023-07-31 math-ph hep-thmath.MPmath.QAmath.RT

N. Belousov , S. Derkachov , S. Kharchev , S. Khoroshkin This is my paper · ORCID
classification math-phhep-thmath.MPmath.QAmath.RT
keywords functionswavebaxtercompletenesshyperbolicorthogonalityruijsenaarssystem
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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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  1. Ruijsenaars spectral transform

    math-ph 2024-11 reject novelty 6.0 of 10

    The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.

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