Abstract
In this paper the structure of vortex coadjoint orbits pertaining to perfect fluids having
smooth vorticities in R^3, within the framework set up by J. Marsden and A. Weinstein [Physica
D 7, 305-323 (1983)], in terms of an associated Hamiltonian Kaehler manifold (the Clebsch manifold, described in terms of the so-called Clebsch variables) is investigated. The
topological quantization of Mikhailov and Kuznetsov is related to geometric
quantization. Natural candidates for the coherent states on the Clebsch manifold are also
exhibited.
Original language | English |
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Pages (from-to) | 901-909 |
Number of pages | 9 |
Journal | Journal of Mathematical Physics |
Volume | 33 |
Publication status | Published - 1992 |
Keywords
- quantum vortices, geometric quantization, Hopf invariant