Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy
Mathematical Physics
2018-05-23 v3 math.MP
Abstract
We establish a correspondence between rational solutions to the matrix KP hierarchy and the spin generalization of the Calogero-Moser system on the level of hierarchies. Namely, it is shown that the rational solutions to the matrix KP hierarchy appear to be isomorphic to the spin Calogero-Moser system in a sense that the dynamics of poles of solutions to the matrix KP hierarchy in the higher times is governed by the higher Hamiltonians of the spin Calogero-Moser integrable hierarchy with rational potential.
Keywords
Cite
@article{arxiv.1712.06943,
title = {Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy},
author = {V. Pashkov and A. Zabrodin},
journal= {arXiv preprint arXiv:1712.06943},
year = {2018}
}
Comments
17 pages, a reference added