From the assumption that the collective Hamiltonian be invariant under the orthogonal group O(A -1, iR) it is concluded that classical collective dynamics can be formulated on a symplectic manifold. This manifold is shown to be a coset space of the symplectic group Y/2(6, [R) of dimension 12, 16 or
On the theory of collective motion
โ Scribed by Shinzo Nakai
- Book ID
- 107835989
- Publisher
- Elsevier Science
- Year
- 1963
- Weight
- 536 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0029-5582
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๐ SIMILAR VOLUMES
It is assumed that the Hamiltonian for collective motion in nuclei is invariant under the orthogonal group 0(n, R). For degenerate orbits in phase space it is shown that the classical Hamiltonian equations reduce to the equations of a vortex-free fluid with a velocity field determined by independent
It is assumed that the hamiltonian for collective motion in nuclei is invariant under the orthogonal group O(n, IR). For degenerate orbits in phase space it is shown that the classical hamiltonian equations reduce to the equations of a vortex-free fluid with a velocity field determined by independen