Geometric quantization of the CM(3) model

DOI10.1016/0003-4916(79)90093-9zbMath0413.58013OpenAlexW2059447153MaRDI QIDQ598688

Edwin C. Ihrig, George Rosensteel

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0003-4916(79)90093-9

zbMATH Keywords

Bohr-Mottelson liquid drop model of the nucleusclassical collective modelsCm(3) collective modelgeometric quantization schemequamtum Cm(3) modelsquantum collective models

Mathematics Subject Classification ID

Nuclear physics (81V35) Many-body theory; quantum Hall effect (81V70) Geometric quantization (53D50)

Related Items (6)

Symplectic manifolds, coadjoint orbits, and mean field theory ⋮ Rapidly rotating nuclei as Riemann ellipsoids ⋮ A class of unitary representations of the Lie group Sp(3, R), its coherent states, and its map to a symplectic realization on sp*(3, R) ⋮ The moment map and collective motion ⋮ Hamiltonian formulation of Riemann ellipsoid dynamics ⋮ Dynamical algebras in classical mechanics

Cites Work

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• The algebraic CM (3) model
• Lectures on geometric quantization
• Introduction to Lie groups and transformation groups
• Collective motions in nuclei and the spectrum generating algebras T₅ × SO(3), GL(3,R), and CM(3)
• Quantum Mechanical Rigid Rotator with an Arbitrary Deformation. I
• Study of Nuclear Structure by Electromagnetic Excitation with Accelerated Ions
• Representations of a semi-direct product by quantization
• Hamiltonian group actions and dynamical systems of calogero type
• Quantization and unitary representations

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