Inverse Scattering Transform for the Toda Hierarchy | Zendy

Teschl Gerald | Zendy

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Inverse Scattering Transform for the Toda Hierarchy

Author(s) -

Teschl Gerald

Publication year - 1999

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19992020113

Subject(s) - mathematics , hierarchy , connection (principal bundle) , inverse scattering transform , inverse , toda lattice , trace (psycholinguistics) , inverse scattering problem , quantum inverse scattering method , pure mathematics , scattering , algebra over a field , mathematical analysis , inverse problem , integrable system , geometry , physics , quantum mechanics , linguistics , philosophy , economics , market economy

We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy. In addition, we revisit the connection between trace formulas and conserved quantities from the viewpoint of Krein's spectral shift theory.

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