English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Sums of matrix elements of spin-dependent two-body momentum-independentinteractions and sums of their products are calculated analytically in thebasis of many-body states with given total spin --- the states built from spinand spatial wavefunctions belonging to multidimensional irreduciblerepresentations of the symmetric group, unless the total spin has the maximalallowed value. As in the first part of the series [V. A. Yurovsky, Phys. Rev. A91, 053601 (2015)], the sum dependence on the many-body states is given byuniversal factors, which are independent of the Hamiltonians of non-interactingparticles. The sum rules are applied to perturbative analysis of energy spectraand to calculation of two-body spin-dependent local correlations.

Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: II. Spin-dependent two-body interactions