Existence of ground states for negative ions at the binding threshold

J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).


Journal Article | Published | English
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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.
Publishing Year
Date Published
2014-02-01
Journal Title
Reviews in Mathematical Physics
Volume
26
Issue
1
Article Number
1350021
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Cite this

Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 2014;26(1). doi:10.1142/S0129055X13500219
Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics, 26(1). https://doi.org/10.1142/S0129055X13500219
Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics 26, no. 1 (2014). https://doi.org/10.1142/S0129055X13500219.
J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” Reviews in Mathematical Physics, vol. 26, no. 1, 2014.
Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1).
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.

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