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Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background

Johanna Michor·Gerald Teschl
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Abstract

We investigate trace formulas for Jacobi operators which are trace class perturbations of quasi-periodic finite-gap operators using Krein's spectral shift theory. In particular we establish the conserved quantities for the solutions of the Toda hierarchy in this class.

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Johanna Michor, Gerald Teschl. 2005-06-27. Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background. https://doi.org/10.1007/978-3-7643-8135-6_6

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