In this paper the structure of vortex coadjoint orbits pertaining to perfect fluids having smooth vorticities in R3, 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.
On coadjoint orbits of rotational perfect fluids
SPERA, Mauro
1992-01-01
Abstract
In this paper the structure of vortex coadjoint orbits pertaining to perfect fluids having smooth vorticities in R3, 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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
