The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curves

Details The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curves The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curves

2000-11-16

arxiv.org/abs/hep-th/0011145v3

J.Math.Phys. 42 (2001) 4894-4914

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 25 pages, 1 table, some references added and rearranged together with misprints corrected

Scientific paper

We study the elliptic C_n and BC_n Ruijsenaars-Schneider models which is elliptic generalization of system given in hep-th/0006004. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameterized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the systems corresponding to Calogero-Moser and Toda types.

Affiliated with

Also associated with

No associations

Rating

The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models 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 The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-447223