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The hierarchy of Poisson brackets for the open Toda lattice and its' spectral curves
- Publication Year :
- 2018
-
Abstract
- We establish a new representation of the infinite hierarchy of Pois- son brackets (PB) for the open Toda lattice in terms of its spectral curve. For the classical Poisson bracket (PB) we give a representation in the form of a contour integral of some special Abelian differential (meromorphic one-form) on the spectral curve. All higher brackets of the infinite hierarchy are obtained by multiplication of the one-form by a power of the spectral parameter.<br />Comment: 21 pages
- Subjects :
- Mathematical Physics
37K10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1802.10556
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2018.10.006