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.
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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. | ||||||||||||
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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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