Finite-gap difference opeators with elliptic coefficients and their spectral curves

Details Finite-gap difference opeators with elliptic coefficients and their spectral curves Finite-gap difference opeators with elliptic coefficients and their spectral curves

1999-10-19

arxiv.org/abs/math/9910097v1

Mathematics

Quantum Algebra

Talk given at the workshop "Physical Combinatorics", (IIAS-RIMS, January 1999), 15 pages, LaTeX

Scientific paper

We review recent results on the finite-gap properties of difference operators with elliptic coefficients and give explicit characterization of spectral curves for difference analogues of the higher Lam\'e operators. This curve parametrizes double-Bloch solutions to the difference Lam\'e equation. The curve depends on a positive integer number \ell, related to its genus g by g=2\ell, and two continuous parameters: the lattice spacing \eta and the modular parameter \tau. Isospectral deformations of the difference Lam\'e operator under Volterra flows are also discussed.

Affiliated with

Also associated with

No associations

Rating

Finite-gap difference opeators with elliptic coefficients and their spectral curves 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 Finite-gap difference opeators with elliptic coefficients and their spectral curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-gap difference opeators with elliptic coefficients and their spectral curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361849