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

For $m$ number of bosons, carrying spin ($S$=1) degree of freedom, in$\Omega$ number of single particle orbitals, each triply degenerate, weintroduce and analyze embedded Gaussian orthogonal ensemble of random matricesgenerated by random two-body interactions that are spin (S) scalar[BEGOE(2)-$S1$]. The embedding algebra is $U(3) \supset G \supset G1 \otimesSO(3)$ with SO(3) generating spin $S$. A method for constructing the ensemblesin fixed-($m$, $S$) space has been developed. Numerical calculations show thatthe form of the fixed-($m$, $S$) density of states is close to Gaussian andlevel fluctuations follow GOE. Propagation formulas for the fixed-($m$, $S$)space energy centroids and spectral variances are derived for a general oneplus two-body Hamiltonian preserving spin. In addition to these, we alsointroduce two different pairing symmetry algebras in the space defined byBEGOE(2)-$S1$ and the structure of ground states is studied for each paringsymmetry.

Random matrix ensemble with random two-body interactions in presence of a mean-field for spin one boson systems