Abstract
The recurrent relations between the eigenfunctions of the GL(N, ℝ) and GL(N-1, ℝ) quantum Toda chains are 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.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 71, No. 6, 2000, pp. 338–343.
Original English Text Copyright © 2000 by Kharchev, Lebedev.
This article was submitted by the authors in English.