Periodic integrable systems with delta-potentials
表示论
2009-06-04 v2 高能物理 - 理论
数学物理
math.MP
摘要
In this paper we study root system generalizations of the quantum Bose-gas on the circle with pair-wise delta function interactions. The underlying symmetry structures are shown to be governed by the associated graded of Cherednik's (suitably filtered) degenerate double affine Hecke algebra, acting by Dunkl-type differential-reflection operators. We use Gutkin's generalization of the equivalence between the impenetrable Bose-gas and the free Fermi-gas to derive the Bethe ansatz equations and the Bethe ansatz eigenfunctions.
引用
@article{arxiv.math/0503034,
title = {Periodic integrable systems with delta-potentials},
author = {Erdal Emsiz and Eric M. Opdam and Jasper V. Stokman},
journal= {arXiv preprint arXiv:math/0503034},
year = {2009}
}
备注
36 pages. The analysis of the propagation operator in Sections 5 and 6 is corrected and simplified. To appear in Comm. Math. Phys