The periodic and open Toda lattice

Details The periodic and open Toda lattice The periodic and open Toda lattice

2000-10-21

arxiv.org/abs/hep-th/0010184v1

Mirror Symmetry IV, AMS/IP. vol 33, 139-158 (2002)

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex

Scientific paper

We develop algebro-geometrical approach for the open Toda lattice. For a finite Jacobi matrix we introduce a singular reducible Riemann surface and associated Baker-Akhiezer functions. We provide new explicit solution of inverse spectral problem for a finite Jacoby matrix. For the Toda lattice equations we obtain the explicit form of the equations of motion, the symplectic structure and Darboux coordinates. We develop similar approach for 2D open Toda. Explaining some the machinery we also make contact with the periodic case.

Affiliated with

Also associated with

No associations

Rating

The periodic and open Toda lattice 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 The periodic and open Toda lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The periodic and open Toda lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88477