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Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials

Frank, Rupert L. and Laptev, Ari and Lieb, Elliott H. and Seiringer, Robert (2006) Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials. Letters in Mathematical Physics, 77 (3). pp. 309-316. ISSN 0377-9017. https://resolver.caltech.edu/CaltechAUTHORS:20170601-075251570

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Abstract

Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s11005-006-0095-1DOIArticle
https://link.springer.com/article/10.1007%2Fs11005-006-0095-1PublisherArticle
https://arxiv.org/abs/math-ph/0605017arXivDiscussion Paper
http://rdcu.be/taWyPublisherFree ReadCube access
ORCID:
AuthorORCID
Frank, Rupert L.0000-0001-7973-4688
Lieb, Elliott H.0000-0001-5843-3587
Additional Information:© By the Authors 2006. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 5 May 2006. Published online: 29 July 2006. The work of Rupert L. Frank and Ari Laptev was supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The work of Elliott H. Lieb was supported by U.S. National Science Foundation grant PHY 01 39984. The work of Robert Seiringer was supported by U.S. National Science Foundation grant PHY 03 53181, and by an A.P. Sloan Fellowship.
Funders:
Funding AgencyGrant Number
Swedish Foundation for International Cooperation in Research and Higher Education (STINT)UNSPECIFIED
NSFPHY-0139984
NSFPHY-0353181
Alfred P. Sloan FoundationUNSPECIFIED
Subject Keywords:Schrödinger operator, Lieb–Thirring inequalities, complex potential
Issue or Number:3
Classification Code:MSC: Primary, 35P15; Secondary, 81Q10
Record Number:CaltechAUTHORS:20170601-075251570
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170601-075251570
Official Citation:Frank, R.L., Laptev, A., Lieb, E.H. et al. Lett Math Phys (2006) 77: 309. doi:10.1007/s11005-006-0095-1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77877
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Jun 2017 21:08
Last Modified:09 Mar 2020 13:19

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