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Published October 2016 | Version Submitted
Journal Article Open

On the number of eigenvalues of Schrödinger operators with complex potentials

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Imperial College London
  • 3. ROR icon University of North Carolina at Charlotte

Abstract

We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity.

Additional Information

© 2016 London Mathematical Society. Received 13 January 2015; revised 15 March 2016; published online 16 June 2016. The first author acknowledges support through NSF grant DMS-1363432. Ari Laptev was supported by the grant of the Russian Federation Government to support scientific research under the supervision of leading scientist at Siberian Federal University, No 14.Y26.31.0006. The first and third author would like to thank the Mittag-Leffler Institute for hospitality.

Attached Files

Submitted - 1601.03122v1.pdf

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1601.03122v1.pdf

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Additional details

Identifiers

Eprint ID
72344
DOI
10.1112/jlms/jdw039
Resolver ID
CaltechAUTHORS:20161128-153447509

Related works

Describes
10.1112/jlms/jdw039 (DOI)
https://arxiv.org/abs/1601.03122 (URL)

Funding

NSF
DMS-1363432
Siberian Federal University
14.Y26.31.0006

Dates

Created
2016-11-28
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department