Collectivity and geometry. V. Spectra and shapes in the two-dimensional case

DOI10.1063/1.527436zbMath0633.22007OpenAlexW2084167179MaRDI QIDQ3770738

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527436

zbMATH Keywords

irreducible representationsymplectic groupsLie algebracollective modelnuclear structurenuclear modelsboson approximation

Mathematics Subject Classification ID

Nuclear physics (81V35) Hamilton's equations (70H05) 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) Applications of linear algebraic groups to the sciences (20G45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Collective nuclear potential within the microscopic Sp(6,R) model ⋮ The nuclear collective WSp(6,R) model ⋮ Collectivity and geometry. VI. Spectra and shapes in the three-dimensional case

Cites Work

• The algebraic CM (3) model
• Group theory of the interacting Boson model of the nucleus
• Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)⊇U(3) basis
• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• Collectivity and geometry. II. The two-dimensional case
• Collectivity and geometry. IV. Sp(6) ⊇ Sp(2)×O(3) basis states for open shells
• Boson realization of sp(4, R). II. The generating kernel formulation
• Matrix representation of the generators of symplectic algebras. I. The case of sp(4,R)
• Quadratic Hamiltonians in phase space and their eigenstates

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