Rapidly rotating nuclei as Riemann ellipsoids

DOI10.1016/0003-4916(88)90002-4zbMath0646.70020OpenAlexW1984097010MaRDI QIDQ1104145

George Rosensteel

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90002-4

zbMATH Keywords

phase spaceclassical fluidHamiltonian dynamical systeminertia tensornuclear potentialEquilibrium solutionsattractive surface energyBohr-Mottelson coordinatesco- adjoint orbitconserved Kelvin circulationellipsoidal boundaryirrotational fluidsJacobi ellipsoidsLie group GCM(3)method of geometric quantizationnoncollective prolate spheroidsQuantum Riemann ellipsoidsrepulsive Coulomb potentialRiemann ellispoidRiemann sequencesrigidity, bounding self-adjoint sequencesrotating Maclaurin spheroids

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Free motion of a rigid body (70E15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (9)

On the dynamics of self-gravitating ellipsoid in \(n\) dimensions and its deformation quantization ⋮ Lax representation of Riemann ellipsoids ⋮ The Hamiltonian description of incompressible fluid ellipsoids ⋮ Nonlinear stability of Riemann ellipsoids with symmetric configurations ⋮ Lie aspects of the dynamics of self-gravitating ellipsoids in n dimensions ⋮ An overlooked figure of equilibrium of a rotating ellipsoidal self-gravitating fluid and the Riemann theorem ⋮ Algebraic nonlinear collective motion. ⋮ Clebsch canonization of Lie-Poisson systems ⋮ Differential geometry of collective models

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