Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy

V. Pashkov, A. Zabrodin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Article number215201
JournalJournal of Physics A: Mathematical and Theoretical
Volume51
Issue number21
DOIs
Publication statusPublished - 25 Apr 2018
Externally publishedYes

Keywords

  • Calogero-Moser hierarchy
  • matrix KP hierarchy
  • pole dynamics

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