The Lax pair for C_2-type Ruijsenaars-Schneider model
Kai Chen, Bo-yu Hou, Wen-Li Yang (Northwest University, China)
TL;DR
This paper constructs Lax pairs for the C_2 Ruijsenaars-Schneider model with trigonometric potential, derives involutive Hamiltonians, and connects to the Calogero-Moser model via nonrelativistic limit.
Contribution
It provides explicit Lax pairs for the C_2 RS model with and without spectral parameter, and links to the Calogero-Moser model through a nonrelativistic limit.
Findings
Lax pairs for the C_2 RS model are explicitly constructed.
Involutive Hamiltonians for the system are derived.
Connection to the Calogero-Moser model via nonrelativistic limit is established.
Abstract
We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic limit, we obtain the Lax pair of C_2 Calogero-Moser model.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Quantum Mechanics and Non-Hermitian Physics