We consider a N-particles Schr\"odinger operator with Coulomb interaction with K static nuclei. Let Z_c denote the maximal value of the total nuclear charge that one can remove the excess particles from a molecule without changing the energy. We prove that the system with the critical charge Z_c has no ground state if Z_c = N - 1.
Three-body problem in $d$-dimensional space: ground state, (quasi)-exact-solvability
On the ground state of quantum graphs with attractive $δ$-coupling
Statistical mechanics of Coulomb systems: From electrons and nuclei to atoms and molecules
![QR code for arXiv:1605.02949 [math-ph]](http://oss.arxitics.com/images/favicon.svg)