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VOLUME 71 (2000) | ISSUE 6 | PAGE 338
Eigenfunctions of GL(N,\mathbb{R}) Toda chain: The Mellin - Barnes representation
PACS: 02.20.Hj, 03.65.Db
The recurrent relations between the eigenfunctions for GL(N,R) and GL(N 1,R) 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 AT-particle case.