article
Existence of ground states for negative ions at the binding threshold
published
yes
Jacopo
Bellazzini
author
Rupert
Frank
author
Élliott
Lieb
author
Robert
Seiringer
author 4AFD0470-F248-11E8-B48F-1D18A9856A87
RoSe
department
NSERC Postdoctoral fellowship
project
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.
World Scientific Publishing2014
eng
Reviews in Mathematical Physics10.1142/S0129055X13500219
261
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), 1350021.
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1, 2014.
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>.
Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical Physics</i> 26, no. 1 (2014). <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>.
Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>. 2014;26(1). doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>
Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>, <i>26</i>(1). <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>
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