### Abstract

In this review we discuss quantum phase transitions and the mapping between symmetry breaking of electronic structure configurations at the large-dimension limit and mean-field theory of phase transitions. We show that the finite size scaling method can be used for the calculations of the critical parameters of the few-body Schrodinger equation. In this approach, the finite size corresponds to the number of elements in a complete basis set used to expand the exact eigenfunction of a given Hamiltonian. The critical parameters such as the critical nuclear charges will be used to explain and predict the stability of atomic and molecular negative ions. For N-electron atoms with 2 ≤ N ≤ 86, results show that, at most, only one electron can be added to a free atom in the gas phase. However, doubly charged atomic negative ions might exist in a strong magnetic field.

Original language | English |
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Pages (from-to) | 97-121 |

Number of pages | 25 |

Journal | International Reviews in Physical Chemistry |

Volume | 19 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2000 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

*International Reviews in Physical Chemistry*,

*19*(1), 97-121. https://doi.org/10.1080/014423500229873