Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)⊇U(3) basis

DOI10.1063/1.526298zbMath0556.22010OpenAlexW1999582817MaRDI QIDQ3220775

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Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526298

zbMATH Keywords

representationsinfinitesimal operatorsSp(n,R)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

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The nuclear collective WSp(6,R) model ⋮ Collectivity and geometry. V. Spectra and shapes in the two-dimensional case ⋮ Vector coherent state theory and its application to the orthogonal groups ⋮ Vector coherent states of \(\mathrm{Sp}(2n,\mathbb{R})\) Lie algebra for XYZ antiferromagnetic Heisenberg model ⋮ Fermion realization of the nuclear Sp(6,R) model ⋮ Algebra solutions of antiferromagnet-antiferromagnet-ferromagnet quantum Heisenberg chains related to Sp(6,R) Lie algebra ⋮ Boson realization of sp(4). I. The matrix formulation

Cites Work

• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• Group theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interaction
• Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis
• A recursion formula for sp(3,R) matrix elements
• General Approach to Fractional Parentage Coefficients