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. doi:10.1142/S0129055X13500219. 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:

URL	URL Type	Description
http://dx.doi.org/10.1142/S0129055X13500219	DOI	Article
http://www.worldscientific.com/doi/abs/10.1142/S0129055X13500219	Publisher	Article
https://arxiv.org/abs/1301.5370	arXiv	Discussion Paper

ORCID:

Author	ORCID
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 Agency	Grant Number
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)	UNSPECIFIED
NSF	PHY-1068285
NSF	PHY-0965859
Simons Foundation	230207
Natural Sciences and Engineering Research Council of Canada (NSERC)	UNSPECIFIED

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Classification Code:

AMSC: 35Q40, 46N50, 81Q10, 81V45

DOI:

10.1142/S0129055X13500219

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

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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:

15 Nov 2021 17:28

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