On the number of eigenvalues of Schrödinger operators with complex potentials

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. © 2016 London Mathematical Society. Received 13 January 2015; revised 15 March 2016; publishe...

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Bibliographic Details
Published in:Journal of the London Mathematical Society
Main Authors: Frank, Rupert L., Laptev, Ari, Safronov, Oleg
Format: Article in Journal/Newspaper
Language:unknown
Published: London Mathematical Society 2016
Subjects:
Ari
laptev
Online Access:https://doi.org/10.1112/jlms/jdw039
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Summary: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. © 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. Submitted - 1601.03122v1.pdf

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