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Atomic Structure Calculations of Helium with Correlated Exponential Functions

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Atomic Structure Calculations of Helium with Correlated Exponential Functions

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

    <a href="/en/project/GA18-00918S" target="_blank" >GA18-00918S: Quantum Dynamics of Astrophysically Important Molecules</a><br>

  • Continuities

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

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Symmetry [online]

  • ISSN

    2073-8994

  • e-ISSN

  • Volume of the periodical

    13

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    26

  • Pages from-to

    1246

  • UT code for WoS article

    000676916300001

  • EID of the result in the Scopus database

    2-s2.0-85111379260