Three formulas for eigenfunctions of integrable Schroedinger operators
| dc.creator | Felder, Giovanni | |
| dc.creator | Varchenko, Alexander | |
| dc.date | 1995-11-16 | |
| dc.date.accessioned | 2026-07-07T04:21:39Z | |
| dc.date.available | 2026-07-07T04:21:39Z | |
| dc.description | We give three formulas for meromorphic eigenfunctions (scattering states) of Sutherland's integrable N-body Schroedinger operators and their generalizations. The first is an explicit computation of the Etingof-Kirillov traces of intertwining operators, the second an integral representation of hypergeometric type, and the third is a formula of Bethe ansatz type. The last two formulas are degenerations of elliptic formulas obtained previously in connection with the Knizhnik-Zamolodchikov-Bernard equation. The Bethe ansatz formulas in the elliptic case are reviewed and discussed in more detail here: Eigenfunctions are parametrized by a ``Hermite-Bethe'' variety, a generalization of the spectral variety of the Lame' operator. We also give the q-deformed version of our first formula. In the scalar sl_N case, this gives common eigenfunctions of the commuting Macdonald-Rujsenaars difference operators. | |
| dc.description | 29 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9511120 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9511120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54406 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Three formulas for eigenfunctions of integrable Schroedinger operators | |
| dc.type | text |