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Existence of ground states for negative ions at the binding threshold

Bellazzini, Jacopo and Frank, Rupert L. and Lieb, Elliott H. and Seiringer, Robert (2014) Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics, 26 (01). Art. No. 1350021. ISSN 0129-055X. https://resolver.caltech.edu/CaltechAUTHORS:20170504-103757590

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Abstract

As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition at some critical Z_c. We investigate whether the electrons remain bound when Z=Z_c and whether the radius of the system stays finite as Z_c is approached. Existence of a ground state at Z_c is shown under the condition Z_c<N-K, where K is the maximal number of electrons that can be removed at Z_c without changing the ground state energy.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1142/S0129055X13500219DOIArticle
http://www.worldscientific.com/doi/abs/10.1142/S0129055X13500219PublisherArticle
https://arxiv.org/abs/1301.5370arXivDiscussion Paper
ORCID:
AuthorORCID
Frank, Rupert L.0000-0001-7973-4688
Lieb, Elliott H.0000-0001-5843-3587
Additional Information:© 2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Partial financial support from PRIN 2009 ‘Metodi Variazionali e Topologici nello Studio di Fenomeni non Lineari’ (J.B.), the U.S. National Science Foundation through grants PHY-1068285 (R.F.), PHY-0965859 (E.L.), the Simons Foundation (# 230207, E.L.) and the NSERC (R.S.) is acknowledged.
Funders:
Funding AgencyGrant Number
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)UNSPECIFIED
NSFPHY-1068285
NSFPHY-0965859
Simons Foundation230207
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Issue or Number:01
Classification Code:AMSC: 35Q40, 46N50, 81Q10, 81V45
Record Number:CaltechAUTHORS:20170504-103757590
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170504-103757590
Official Citation:EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD JACOPO BELLAZZINI, RUPERT L. FRANK, ELLIOTT H. LIEB, and ROBERT SEIRINGER Reviews in Mathematical Physics 2014 26:01
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77195
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 May 2017 18:37
Last Modified:09 Mar 2020 13:19

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