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. doi:10.1007/s11005-006-0095-1. 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:

URL	URL Type	Description
http://dx.doi.org/10.1007/s11005-006-0095-1	DOI	Article
https://link.springer.com/article/10.1007%2Fs11005-006-0095-1	Publisher	Article
https://arxiv.org/abs/math-ph/0605017	arXiv	Discussion Paper
http://rdcu.be/taWy	Publisher	Free ReadCube access

ORCID:

Author	ORCID
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 Agency	Grant Number
Swedish Foundation for International Cooperation in Research and Higher Education (STINT)	UNSPECIFIED
NSF	PHY-0139984
NSF	PHY-0353181
Alfred P. Sloan Foundation	UNSPECIFIED

Subject Keywords:

Schrödinger operator, Lieb–Thirring inequalities, complex potential

Issue or Number:

Classification Code:

MSC: Primary, 35P15; Secondary, 81Q10

DOI:

10.1007/s11005-006-0095-1

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

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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:

15 Nov 2021 17:34

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