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. http://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176
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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 | |||||||||
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| Additional Information: | © 2017 EMS Publishing House. Support through NSF grant DMS-1363432 is acknowledged. | |||||||||
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| Record Number: | CaltechAUTHORS:20170501-155923176 | |||||||||
| Persistent URL: | http://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: | 06 Aug 2018 20:17 |
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