On coadjoint orbits of rotational perfect fluids

Vittorio Penna, Mauro Spera

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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 languageEnglish
Pages (from-to)901-909
Number of pages9
JournalJournal of Mathematical Physics
Publication statusPublished - 1992


  • quantum vortices, geometric quantization, Hopf invariant


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