Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States

Frank, Rupert L. and Simon, Barry and Weidl, Timo (2008) Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States. Communications in Mathematical Physics, 282 (1). pp. 199-208. ISSN 0010-3616. doi:10.1007/s00220-008-0453-1. https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477

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Abstract

We prove general comparison theorems for eigenvalues of perturbed Schrödinger operators that allow proof of Lieb–Thirring bounds for suitable non-free Schrödinger operators and Jacobi matrices.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1007/s00220-008-0453-1	DOI	Article
https://arxiv.org/abs/0707.0998	arXiv	Discussion Paper
http://rdcu.be/rIBl	Publisher	Free ReadCube access

ORCID:

Author	ORCID
Frank, Rupert L.	0000-0001-7973-4688
Simon, Barry	0000-0003-2561-8539

Additional Information:

© Springer-Verlag 2008. Received: 28 June 2007 / Accepted: 19 July 2007 Published online: 14 March 2008. Communicated by M. Aizenman. Supported in part by NSF Grant DMS-0140592 and U.S.–Israel Binational Science Foundation (BSF) Grant No. 2002068. Supported in part by DFG grant WE-1964 2/1.

Funders:

Funding Agency	Grant Number
NSF	DMS-0140592
Binational Science Foundation (USA-Israel)	2002068
Deutsche Forschungsgemeinschaft (DFG)	WE-1964 2/1

Issue or Number:

DOI:

10.1007/s00220-008-0453-1

Record Number:

CaltechAUTHORS:20170408-144423477

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477

Official Citation:

Frank, R.L., Simon, B. & Weidl, T. Commun. Math. Phys. (2008) 282: 199. doi:10.1007/s00220-008-0453-1

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

75999

Collection:

CaltechAUTHORS

Deposited By:

1Science Import

Deposited On:

01 May 2017 23:14

Last Modified:

15 Nov 2021 16:56

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