Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.

DOI10.1006/aphy.1997.5673zbMath1057.81575OpenAlexW2084436887MaRDI QIDQ1290367

Nir Barnea, Akiva Novoselsky

Publication date: 23 November 2003

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

Full work available at URL: https://doi.org/10.1006/aphy.1997.5673

Mathematics Subject Classification ID

Nuclear physics (81V35) Semisimple Lie groups and their representations (22E46) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35)

Related Items (5)

MUON CAPTURE ON DEUTERON AND ³He: A PERSONAL REVIEW ⋮ Permutation-symmetric three-particle hyper-spherical harmonics based on the \(\operatorname{S}_{3}\otimes\operatorname{SO}(3)_{rot} \subset \operatorname{O}(2)\otimes\operatorname{SO}(3)_{ rot} \subset \operatorname{U}(3) \rtimes \operatorname{S}_{2} \subset \operatorname{O}(6)\) subgroup chain ⋮ Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics ⋮ \(\mathrm{O}(6)\) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation ⋮ A recursive method for the construction of irreducible representations of the orthogonal group O(n)

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• Collectivity and geometry. III. The three-dimensional case in the Sp(6)⊇Sp(2)×𝒪(3) chain for closed shells
• Coefficients of fractional parentage in the L–S coupling scheme
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Linear Canonical Transformations and Their Unitary Representations

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