Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

PDF

University at Albany, State University of New York

Mathematics and Statistics Faculty Scholarship

2017

Keyword

Articles 1 - 2 of 2

Full-Text Articles in Entire DC Network

Structure Formulas For Wave Operators Under A Small Scaling Invariant Condition, Marius Beceanu, Wilhelm Schlag Jan 2017

Structure Formulas For Wave Operators Under A Small Scaling Invariant Condition, Marius Beceanu, Wilhelm Schlag

Mathematics and Statistics Faculty Scholarship

We obtain structure formulas for the intertwining wave operators of a Schroedinger operator with potential V in R^3. The difference from our previous submission arXiv:1612.07304 lies with the fact that here we impose a scaling invariant condition on the potential, albeit with a smallness requirement.


Structure Formulas For Wave Operators, Marius Beceanu, Wilhelm Schlag Jan 2017

Structure Formulas For Wave Operators, Marius Beceanu, Wilhelm Schlag

Mathematics and Statistics Faculty Scholarship

We establish quantitative estimates on the structure function arising in the representation of the intertwining wave operators of a Schroedinger operator in three dimensions. Regularity of zero energy is assumed throughout. This paper is related to, and corrects some inaccuracies in, the first author's work this https URL