Eigenfunctions of GL(N,RR) Toda chain: The Mellin-Barnes representation
classification
✦ hep-th
math.QAnlin.SI
keywords
eigenfunctionstodachainmellin-barnesquantumrepresentationcasechains
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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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