Existence of ground states for negative ions at the binding threshold
Bellazzini, Jacopo
Frank, Rupert
Lieb, Élliott
Seiringer, Robert
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 Publishing
2014
info:eu-repo/semantics/article
doc-type:article
text
https://research-explorer.app.ist.ac.at/record/1918
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>
eng
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129055X13500219
info:eu-repo/semantics/openAccess