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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A $\gamma$-deformed version of $\mathfrak{su}(2)$ algebra has been obtainedfrom a bi-orthogonal system of vectors in $\bf{C^2}$. Fusion ofJordan-Schwinger realization of complexified $\mathfrak{su}(2)$ withDyson-Maleev representation gives a 3-boson realization of Higgs algebra ofcubic polynomial type. The non-hermitian Hamiltonian thus obtained is found tohave real eigenvalues and eigen states with symmetry induced orthogonality. Thenotion of partial ${\mathcal {PT}}$-symmetry (henceforth $\partial_{\mathcal {PT}}$) has been introduced as a characteristic feature of these multi-bosonrealizations. The Hamiltonian along with its eigenstates have been studied inthe light of $\partial_{\mathcal { PT}}$-symmetry. The possibility of$\partial_{\mathcal { PT}}$-symmetry breaking is also discussed. Thedeformation parameter $\gamma$ plays a crucial role in the entire formulationand non-trivially modifies the eigenfunctions under consideration.

Construction of a new three boson non-hermitian Hamiltonian associated to deformed Higgs algebra: real eigenvalues and Partial PT-symmetry