Eigenfunctions of $GL(N,\RR)$ Toda chain: The Mellin-Barnes representation
arXiv:hep-th/0004065 · doi:10.1134/1.568323
Abstract
The recurrent relations between the eigenfunctions for $GL(N,\RR)$ and $GL(N-1,\RR)$ quantum Toda chains is derived. As a corollary, the Mellin-Barnes integral representation for the eigenfunctions of a quantum open Toda chain is constructed for the $N$-particle case.
Latex+amssymb.sty, 7 pages; corrected some typos published in Pis'ma v ZhETF (2000), vol. 71, 338-343