The algebraic CM (3) model

DOI10.1016/0003-4916(76)90110-XzbMath0322.22015MaRDI QIDQ1223409

D. J. Rowe, George Rosensteel

Publication date: 1976

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

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Lie algebras of Lie groups (22E60)

Related Items (13)

Boson realization of sp(4, R). II. The generating kernel formulation ⋮ Rapidly rotating nuclei as Riemann ellipsoids ⋮ Microscopic collective nuclear models with horizontal mixture ⋮ Geometric quantization of the CM(3) model ⋮ On the coupling of self-conjugate systems with S̄L̄ (3̄,R) symmetry ⋮ Hidden pseudospin and spin symmetries and their origins in atomic nuclei ⋮ Collectivity and geometry. V. Spectra and shapes in the two-dimensional case ⋮ Yang–Mills equation for the nuclear geometrical collective model connexion ⋮ The moment map and collective motion ⋮ The principal series of Sp(n,R) ⋮ The discrete series of \(Sp(n,\mathbb{R})\) ⋮ Hamiltonian formulation of Riemann ellipsoid dynamics ⋮ Algebraic nonlinear collective motion.

Cites Work

• A simple independent-particle system having collective properties
• Analytic vectors
• Die Eindeutigkeit der Schrödingerschen Operatoren
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• Unitary representations of the real unimodular group (principal nondegenerate series)
• Vecteurs Analytiques Dans Les Representations de Groupes de Lie
• Coherent states and Lie algebras
• Coherent and Incoherent States of the Radiation Field
• Infinite-dimensional group representations
• Linear Symmetries of Free Boson Fields
• Cyclic Vectors and Irreducibility for Principal Series Representations
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