Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background
Spectral Theory
2015-09-29 v1
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.
Keywords
Cite
@article{arxiv.math/0506540,
title = {Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background},
author = {Johanna Michor and Gerald Teschl},
journal= {arXiv preprint arXiv:math/0506540},
year = {2015}
}
Comments
7 pages