Atomic Structure Calculations of Helium with Correlated Exponential Functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10436092" target="_blank" >RIV/00216208:11320/21:10436092 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3_f7X~nCty" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3_f7X~nCty</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym13071246" target="_blank" >10.3390/sym13071246</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Atomic Structure Calculations of Helium with Correlated Exponential Functions

Popis výsledku v původním jazyce

The technique of quantum electrodynamics (QED) calculations of energy levels in the helium atom is reviewed. The calculations start with the solution of the Schrodinger equation and account for relativistic and QED effects by perturbation expansion in the fine structure constant alpha. The nonrelativistic wave function is represented as a linear combination of basis functions depending on all three interparticle radial distances, r(1), r(2) and r = vertical bar(r) over right arrow (1) - (r) over right arrow (2)vertical bar. The choice of the exponential basis functions of the form exp(-alpha r(1) - beta r(2) - gamma(r)) allows us to construct an accurate and compact representation of the nonrelativistic wave function and to efficiently compute matrix elements of numerous singular operators representing relativistic and QED effects. Calculations of the leading QED effects of order alpha(5)m (where m is the electron mass) are complemented with the systematic treatment of higher-order alpha(6)m and alpha(7)m QED effects.

Název v anglickém jazyce

Atomic Structure Calculations of Helium with Correlated Exponential Functions

Popis výsledku anglicky

The technique of quantum electrodynamics (QED) calculations of energy levels in the helium atom is reviewed. The calculations start with the solution of the Schrodinger equation and account for relativistic and QED effects by perturbation expansion in the fine structure constant alpha. The nonrelativistic wave function is represented as a linear combination of basis functions depending on all three interparticle radial distances, r(1), r(2) and r = vertical bar(r) over right arrow (1) - (r) over right arrow (2)vertical bar. The choice of the exponential basis functions of the form exp(-alpha r(1) - beta r(2) - gamma(r)) allows us to construct an accurate and compact representation of the nonrelativistic wave function and to efficiently compute matrix elements of numerous singular operators representing relativistic and QED effects. Calculations of the leading QED effects of order alpha(5)m (where m is the electron mass) are complemented with the systematic treatment of higher-order alpha(6)m and alpha(7)m QED effects.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA18-00918S" target="_blank" >GA18-00918S: Kvantová dynamika astrofyzikálně významných molekul</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Symmetry [online]

ISSN

2073-8994

e-ISSN

—

Svazek periodika

13

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

26

Strana od-do

1246

Kód UT WoS článku

000676916300001

EID výsledku v databázi Scopus

2-s2.0-85111379260