CaltechAUTHORS
  A Caltech Library Service

Eigenvalues of Schrödinger operators with complex surface potentials

Frank, Rupert L. (2017) Eigenvalues of Schrödinger operators with complex surface potentials. In: Functional Analysis and Operator Theory for Quantum Physics: The Pavel Exner Anniversary Volume. EMS series of congress reports. , Zürich, pp. 245-259. ISBN 978-3-03719-175-0. https://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176

[img] PDF - Submitted Version
See Usage Policy.

182Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176

Abstract

We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show that all eigenvalues lie in a disk in the complex plane with radius bounded in terms of the L^p norm of the potential with d−1 <p ≤ d. We also prove bounds on sums of powers of eigenvalues.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.4171/175PublisherBook Publisher
https://arxiv.org/abs/1512.09067arXivDiscussion Paper
Additional Information:© 2017 EMS Publishing House. Support through NSF grant DMS-1363432 is acknowledged.
Funders:
Funding AgencyGrant Number
NSFDMS-1363432
Series Name:EMS series of congress reports
Record Number:CaltechAUTHORS:20170501-155923176
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77111
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 May 2017 23:16
Last Modified:03 Oct 2019 17:53

Repository Staff Only: item control page