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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.

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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
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Frank, Rupert L.0000-0001-7973-4688
Additional Information:© 2017 EMS Publishing House. Support through NSF grant DMS-1363432 is acknowledged.
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Series Name:EMS series of congress reports
Record Number:CaltechAUTHORS:20170501-155923176
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77111
Deposited By: Tony Diaz
Deposited On:01 May 2017 23:16
Last Modified:09 Mar 2020 13:18

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