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