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.
%0 Journal Article
%1 ZINI_FRANK_LIEB_SEIRINGER_2013
%A BELLAZZINI, JACOPO
%A FRANK, RUPERT L.
%A LIEB, ELLIOTT H.
%A SEIRINGER, ROBERT
%D 2013
%I World Scientific
%J Reviews in Mathematical Physics
%K analysis anions eigenvalue mathematics mechanics physics quantum unread
%N 1
%P 1350021
%R 10.1142/S0129055X13500219
%T EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD
%U http://dx.doi.org/10.1142/S0129055X13500219
%V 26
%X 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.
@article{ZINI_FRANK_LIEB_SEIRINGER_2013,
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.},
added-at = {2014-01-15T16:33:56.000+0100},
author = {BELLAZZINI, JACOPO and FRANK, RUPERT L. and LIEB, ELLIOTT H. and SEIRINGER, ROBERT},
biburl = {https://www.bibsonomy.org/bibtex/2d6d91c1a12cb5ee8012d3b159bf24d01/drmatusek},
doi = {10.1142/S0129055X13500219},
interhash = {2b7a96934e9e346b57932fb2b45cffe2},
intrahash = {d6d91c1a12cb5ee8012d3b159bf24d01},
journal = {Reviews in Mathematical Physics},
keywords = {analysis anions eigenvalue mathematics mechanics physics quantum unread},
month = dec,
number = 1,
pages = 1350021,
publisher = {World Scientific },
timestamp = {2014-01-15T16:33:56.000+0100},
title = {EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD},
url = {http://dx.doi.org/10.1142/S0129055X13500219},
volume = 26,
year = 2013
}