%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 }