Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 2019 | Submitted
Journal Article Open

Schatten class conditions for functions of Schrödinger operators

Abstract

We consider the difference f(H₁)−f(H₀), where H₀ = −Δ and H₁ = −Δ+V are the free and the perturbed Schrödinger operators in L²(R^d), and V is a real-valued short range potential. We give a sharp sufficient condition for this difference to belong to a given Schatten class S_p, depending on the rate of decay of the potential and on the smoothness of f (stated in terms of the membership in a Besov class). In particular, for p > 1 we allow for some unbounded functions f.

Additional Information

© 2019 Springer Nature Switzerland AG. First Online: 09 September 2019. Partial support by U.S. National Science Foundation DMS-1363432 (R.L.F.) is acknowledged. A.P. is grateful to Caltech for hospitality.

Attached Files

Submitted - 1901.05789.pdf

Files

1901.05789.pdf
Files (251.8 kB)
Name Size Download all
md5:70617dead8b10883f7da4d9708f4f406
251.8 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023