Clebsch-Gordan coefficients for the Higgs algebra: The L\"{o}wdin-Shapiro approach
T. Shreecharan
TL;DR
This paper develops an analytical method using the L"{o}wdin-Shapiro projection operator to compute Clebsch-Gordan coefficients for the Higgs algebra, advancing algebraic tools in mathematical physics.
Contribution
It introduces a novel application of the L"{o}wdin-Shapiro approach to derive explicit Clebsch-Gordan coefficients for the Higgs algebra.
Findings
Analytical expressions for Higgs algebra Clebsch-Gordan coefficients obtained.
Method demonstrates effectiveness in algebraic computations.
Provides a foundation for further algebraic and physical applications.
Abstract
The L\"{o}wdin-Shapiro projection operator for the Higgs algebra is constructed and utilised to find an analytical expression for the Clebsch-Gordan coefficients for the same.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra