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 October 2016 | Submitted
Journal Article Open

On the number of eigenvalues of Schrödinger operators with complex potentials

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

Files

1601.03122v1.pdf
Files (212.4 kB)
Name Size Download all
md5:a045120e6161566d2944b56f1c495ed2
212.4 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 23, 2023