### 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

**Quantum critical phenomena and stability of atomic and molecular ions.** / Kais, S.; Serra, P.

Research output: Contribution to journal › Article

*International Reviews in Physical Chemistry*, vol. 19, no. 1, pp. 97-121. https://doi.org/10.1080/014423500229873

}

TY - JOUR

T1 - Quantum critical phenomena and stability of atomic and molecular ions

AU - Kais, S.

AU - Serra, P.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033653798&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033653798&partnerID=8YFLogxK

U2 - 10.1080/014423500229873

DO - 10.1080/014423500229873

M3 - Article

VL - 19

SP - 97

EP - 121

JO - International Reviews in Physical Chemistry

JF - International Reviews in Physical Chemistry

SN - 0144-235X

IS - 1

ER -