On coadjoint orbits of rotational perfect fluids

Mauro Spera, Vittorio Penna

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

17 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)901-909
Numero di pagine9
RivistaJournal of Mathematical Physics
Volume33
Stato di pubblicazionePubblicato - 1992

Keywords

  • quantum vortices, geometric quantization, Hopf invariant

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