Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms

Dirk Hundertmark, Michal Jex, Markus Lange

It is well known that $N$-electron atoms undergoes unbinding for a critical charge of the nucleus $Z_c$, i.e. the atom has eigenstates for the case $Z>Z_c$ and it has no bound sta…