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Degenerate Poisson Pencils on Curves: New Separability Theory

2000/01/01 by Maciej Błaszak, Maciej Blaszak
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Degenerate energy levels #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Physics #Poisson distribution #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Spectral theory #Statistics #nlin.SI

paper · pdf · doi:10.2991/jnmp.2000.7.2.10

published as J. Nonlinear Math. Phys. 7 (2000), no. 2, 213-243

openalex publication_date 2000/01/01 · arxiv created 2000/04/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A review of a new separability theory based on degenerated Poisson pencils and the scalled separation curves is presented. This theory can be considered as an alternative to the Sklyanin theory based on Lax representations and the so-called spectral curves.

Citations