Existence of ground states for negative ions at the binding threshold
Mathematical Physics
2014-02-21 v1 Analysis of PDEs
math.MP
Spectral Theory
Atomic Physics
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.
Cite
@article{arxiv.1301.5370,
title = {Existence of ground states for negative ions at the binding threshold},
author = {Jacopo Bellazzini and Rupert L. Frank and Elliott H. Lieb and Robert Seiringer},
journal= {arXiv preprint arXiv:1301.5370},
year = {2014}
}
Comments
17 pages