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Existence of ground states for negative ions at the binding threshold

Bellazzini, Jacopo and Frank, Rupert L. and Lieb, Elliott Hershel and Seiringer, Robert (2014) Existence of ground states for negative ions at the binding threshold. Reviews in mathematical physics, Vol. 26 (1). ISSN 0129-055X. eISSN 1793-6659. Article.

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DOI: 10.1142/S0129055X13500219

Abstract

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

Item Type:Article
ID Code:10119
Status:Published
Refereed:Yes
Uncontrolled Keywords:Many-body Schrödinger operator, Coulomb system, threshold eigenvalue
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:001 Università di Sassari > 01-a Nuovi Dipartimenti dal 2012 > Scienze Politiche, Scienze della Comunicazione e Ingegneria dell'Informazione
Publisher:World Scientific Publishing Co. Pte
ISSN:0129-055X
eISSN:1793-6659
Copyright Holders:© 2014 by the authors
Deposited On:22 Sep 2014 11:16

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