### Abstract

A mapping between the quantum few-body problem and its classical mechanics pseudo-system analog is used to study the critical parameters for the helium isoelectronic sequence. The critical point is the critical value of the nuclear charge Z_{c}. for which the energy of a bound state becomes degenerate with a threshold. A finite-size scaling ansatz in the form of a phenomenological renormalization equation is used to obtain very accurate results for the critical point of the ground-state energy, λ_{c}=1/Z_{C}=1.0976±0.0004, as well as for the excited 2p^{2} ^{3}P state, λ_{c}=1.0058±0.0017. The results for the critical exponents α and ν are also included.

Original language | English |
---|---|

Pages (from-to) | 2765-2770 |

Number of pages | 6 |

Journal | Journal of Chemical Physics |

Volume | 108 |

Issue number | 7 |

Publication status | Published - 15 Feb 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*108*(7), 2765-2770.

**Critical parameters for the heliumlike atoms : A phenomenological renormalization study.** / Neirotti, Juan Pablo; Serra, Pablo; Kais, Sabre.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 108, no. 7, pp. 2765-2770.

}

TY - JOUR

T1 - Critical parameters for the heliumlike atoms

T2 - A phenomenological renormalization study

AU - Neirotti, Juan Pablo

AU - Serra, Pablo

AU - Kais, Sabre

PY - 1998/2/15

Y1 - 1998/2/15

N2 - A mapping between the quantum few-body problem and its classical mechanics pseudo-system analog is used to study the critical parameters for the helium isoelectronic sequence. The critical point is the critical value of the nuclear charge Zc. for which the energy of a bound state becomes degenerate with a threshold. A finite-size scaling ansatz in the form of a phenomenological renormalization equation is used to obtain very accurate results for the critical point of the ground-state energy, λc=1/ZC=1.0976±0.0004, as well as for the excited 2p2 3P state, λc=1.0058±0.0017. The results for the critical exponents α and ν are also included.

AB - A mapping between the quantum few-body problem and its classical mechanics pseudo-system analog is used to study the critical parameters for the helium isoelectronic sequence. The critical point is the critical value of the nuclear charge Zc. for which the energy of a bound state becomes degenerate with a threshold. A finite-size scaling ansatz in the form of a phenomenological renormalization equation is used to obtain very accurate results for the critical point of the ground-state energy, λc=1/ZC=1.0976±0.0004, as well as for the excited 2p2 3P state, λc=1.0058±0.0017. The results for the critical exponents α and ν are also included.

UR - http://www.scopus.com/inward/record.url?scp=5544224963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5544224963&partnerID=8YFLogxK

M3 - Article

VL - 108

SP - 2765

EP - 2770

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 7

ER -