Eigenfunctions of $GL(N,\RR)$ Toda chain: The Mellin-Barnes representation

Details Eigenfunctions of $GL(N,\RR)$ Toda chain: The Mellin-Barnes representation Eigenfunctions of $GL(N,\RR)$ Toda chain: The Mellin-Barnes representation

2000-04-10

arxiv.org/abs/hep-th/0004065v2

Pisma Zh.Eksp.Teor.Fiz. 71 (2000) 338-343; JETP Lett. 71 (2000) 235-238

Physics

High Energy Physics

High Energy Physics - Theory

Latex+amssymb.sty, 7 pages; corrected some typos published in Pis'ma v ZhETF (2000), vol. 71, 338-343

Scientific paper

10.1134/1.568323

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.

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