Convergence study of the 1/Z expansion for the energy levels of two-electron atoms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10081706" target="_blank" >RIV/00216208:11320/10:10081706 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Convergence study of the 1/Z expansion for the energy levels of two-electron atoms

Popis výsledku v původním jazyce

We perform numerical analysis of the first 20 and 14 coefficients for 1 S-1 and 2 S-3 states of the 1/Z expansion of the energy of two-electron atoms, respectively. The radius of convergence and large-order behavior of the coefficients are determined. The results obtained are in disagreement with those given so far in the literature. We sum the terms of the series with known coefficients and the remainder of the series where we replace the actual coefficients by their large-order values. We show that inclusion of the remainder improves agreement with variational results by more than three orders of magnitude. We argue that the energy is at least three times and most likely infinitely degenerate at the singularity. Numerical result for the effective characteristic polynomial supports this conclusion.

Název v anglickém jazyce

Convergence study of the 1/Z expansion for the energy levels of two-electron atoms

Popis výsledku anglicky

We perform numerical analysis of the first 20 and 14 coefficients for 1 S-1 and 2 S-3 states of the 1/Z expansion of the energy of two-electron atoms, respectively. The radius of convergence and large-order behavior of the coefficients are determined. The results obtained are in disagreement with those given so far in the literature. We sum the terms of the series with known coefficients and the remainder of the series where we replace the actual coefficients by their large-order values. We show that inclusion of the remainder improves agreement with variational results by more than three orders of magnitude. We argue that the energy is at least three times and most likely infinitely degenerate at the singularity. Numerical result for the effective characteristic polynomial supports this conclusion.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review A - Atomic Molecular and Optical Physics

ISSN

1050-2947

e-ISSN

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Svazek periodika

81

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

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Kód UT WoS článku

000276262500041

EID výsledku v databázi Scopus

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