Zhelobenko-Stern formulas and Toda wave functions
arXiv:2402.16120
Abstract
Using Zhelobenko-Stern formulas for the action of the generators of orthogonal Lie algebra in corresponding Gelfand-Tsetlin basis, we derive Mellin-Barnes presentations for the wave functions of Toda lattice. They are in accordance with Iorgov-Shadura formulas.