On the spectral curve of the difference Lamé operator

Details On the spectral curve of the difference Lamé operator On the spectral curve of the difference Lamé operator

1998-12-30

arxiv.org/abs/math/9812161v1

Mathematics

Quantum Algebra

22 pages, latex

Scientific paper

We give two "complementary" descriptions of the curve $\Gamma$ parametrizing double-Bloch solutions to the difference analogue of the Lam\'e equation. The curve depends on a positive integer number $\ell$ and two continuous parameters: the "lattice spacing" $\eta$ and the modular parameter $\tau$. Apart from being a covering of the elliptic curve with the modular parameter $\tau$, $\Gamma$ is a hyperelliptic curve of genus $2\ell$. We also point out connections between the spectral curve and representations of the Sklyanin algebra.

Affiliated with

Also associated with

No associations

Rating

On the spectral curve of the difference Lamé operator 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 On the spectral curve of the difference Lamé operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectral curve of the difference Lamé operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725940