Quantum critical phenomena and stability of atomic and molecular ions

S. Kais, P. Serra

Research output: Contribution to journalArticle

41 Citations (Scopus)

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 languageEnglish
Pages (from-to)97-121
Number of pages25
JournalInternational Reviews in Physical Chemistry
Volume19
Issue number1
DOIs
Publication statusPublished - 1 Jan 2000
Externally publishedYes

Fingerprint

molecular ions
negative ions
Negative ions
Phase transitions
Ions
Schrodinger equation
N electrons
Hamiltonians
Atoms
Mean field theory
Electrons
Eigenvalues and eigenfunctions
Electronic structure
atoms
broken symmetry
ions
eigenvectors
Gases
vapor phases
Magnetic fields

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

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

In: International Reviews in Physical Chemistry, Vol. 19, No. 1, 01.01.2000, p. 97-121.

Research output: Contribution to journalArticle

@article{bd502e817ed24b06929c26b84b658490,
title = "Quantum critical phenomena and stability of atomic and molecular ions",
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.",
author = "S. Kais and P. Serra",
year = "2000",
month = "1",
day = "1",
doi = "10.1080/014423500229873",
language = "English",
volume = "19",
pages = "97--121",
journal = "International Reviews in Physical Chemistry",
issn = "0144-235X",
publisher = "Taylor and Francis Ltd.",
number = "1",

}

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 -