Symmetry Properties of the Wigner<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>9</mml:mn><mml:mi>j</mml:mi></mml:math>Symbol

Jahn, H. A.; Hope, Joanna

doi:10.1103/physrev.93.318

Cited by 101 publications

(37 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is therefore necessary to use 12j-coefficients, introduced by Jahn and Hoppe [12] and studied by Ord-Smith [13], who found 16 symmetry relations together with a convenient new notation. In the comprehensive work of Jucys et al [14], the 12j-coefficients of this form were referred to as symbols of the first kind.…”

Section: Explanation Of Used Symbolsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms Part II: Explicit formulae for inter-configuration interactions

2015

View full text Add to dashboard Cite

show abstract

Section: Explanation Of Used Symbolsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms Part II: Explicit formulae for inter-configuration interactions

2015

View full text Add to dashboard Cite

show abstract

“…Therefore, it is necessary to use 12j-coefficients, introduced by Jahn and Hope [37] and studied by Ord-Smith [38], who found 16 symmetry relations including a convenient new notation. In the comprehensive work of Yutsis et al [39], the 12j-coefficients of this form were referred to as symbols of the first kind.…”

Section: Explanation Of Used Symbolsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms

2016

View full text Add to dashboard Cite

Abstract. The continuation of the previous series of papers related to the construction of the energy matrix for complex atoms is presented. The contributions from the second-order perturbation theory concerning electrostatically correlated spin-orbit interactions (CSO), as well as electrostatically correlated hyperfine interactions (CHFS) to the atomic structure of nl N , nl N n1lconfigurations, are considered. This theory assumes that the electron excitation n 0l0 → nl affects spin-orbit splitting and magnetic dipole and electric quadrupole hyperfine structure in the same way which will be discussed below. Part I of the series presented, in general terms, a method allowing the analysis of complex electronic systems. Parts II, III and IV provided a description of an electrostatic interaction up to second-order perturbation theory; they constitute the basis for the design of an efficient computer program package for large-scale calculations of accurate wave functions. Analyses presented in the entire series of our papers clearly demonstrate that obtaining the precise wave functions is impossible without considering the contribution from the second-order effects into fine and hyperfine atomic structure.

show abstract

“…Therefore, it is necessary to use 12j-coefficients, introduced by Jahn and Hoppe [30] and studied by Ord-Smith [31], who found 16 symmetry relations together with a convenient new notation. In the comprehensive work of Jucys et al [32], the 12j-coefficients of this form were referred to as symbols of the first kind.…”

Section: Explanation Of Used Symbolsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms Part III: Excitation of two equivalent electrons from a closed shell into an open shell or an empty shell

2015

View full text Add to dashboard Cite

Abstract. The effects of the second-order configuration interaction perturbations on the energy-level structure of nl N , nl N n1l1 n2l2 configurations have been studied. In the previous works (see Part I and II) we presented a method, which allows to analyse complex electronic systems composed of configurations including up to four open shells and the formulae for the first-order electrostatic interaction between sophisticated configurations. In the present paper we consider two-electron core excitations for and between the configurations under study. They constitute the basis for the design of an efficient computer program package allowing large-scale calculations providing accurate wave functions.

show abstract

Symmetry Properties of the Wigner9jSymbol

Cited by 101 publications

References 3 publications

Construction of the energy matrix for complex atoms Part II: Explicit formulae for inter-configuration interactions

Construction of the energy matrix for complex atoms Part II: Explicit formulae for inter-configuration interactions

Construction of the energy matrix for complex atoms

Construction of the energy matrix for complex atoms Part III: Excitation of two equivalent electrons from a closed shell into an open shell or an empty shell

Contact Info

Product

Resources

About