Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators
Abstract
Intertwiners between representations of Lie groups can be used to obtain relations for matrix elements. We apply this technique to obtain different identities for the wave functions of the open Toda chain, in particular raising operators and bilinear relations for the wave functions at different energy levels. We also recall the group theory approach to the Toda chain: treating the wave functions as matrix elements in irreducible representations between the socalled Whittaker vectors, integral representations of the wave functions, etc.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 1999
 arXiv:
 arXiv:math/9905005
 Bibcode:
 1999math......5005C
 Keywords:

 Mathematics  Representation Theory
 EPrint:
 16 pages, LaTex