Calogero–Moser Model and R-Matrix Identities View Full Text


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Article Info

DATE

2018-12

AUTHORS

A. V. Zotov

ABSTRACT

We discuss properties of R-matrix-valued Lax pairs for the elliptic Calogero-Moser model. In particular, we show that the family of Hamiltonians arising from this Lax representation contains only known Hamiltonians and no others. We review the relation of R-matrix-valued Lax pairs to Hitchin systems on bundles with nontrivial characteristic classes over elliptic curves and also to quantum long-range spin chains. We prove a general higher-order identity for solutions of the associative Yang–Baxter equation. More... »

PAGES

1755-1770

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0040577918120061

DOI

http://dx.doi.org/10.1134/s0040577918120061

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111224376


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