Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism

Details Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism

2000-07-05

arxiv.org/abs/hep-th/0007040v1

J.Phys.A34:2247-2258,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex+amssymb.sty, 14 pages

Scientific paper

10.1088/0305-4470/34/11/317

The integral representations for the eigenfunctions of $N$ particle quantum open and periodic Toda chains are constructed in the framework of Quantum Inverse Scattering Method (QISM). Both periodic and open $N$-particle solutions have essentially the same structure being written as a generalized Fourier transform over the eigenfunctions of the $N-1$ particle open Toda chain with the kernels satisfying to the Baxter equations of the second and first order respectively. In the latter case this leads to recurrent relations which result to representation of the Mellin-Barnes type for solutions of an open chain. As byproduct, we obtain the Gindikin-Karpelevich formula for the Harish-Chandra function in the case of $GL(N,\RR)$ group.

Affiliated with

Also associated with

No associations

Rating

Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17780