On coadjoint orbits of rotational perfect fluids

Mauro Spera, Vittorio Penna

Research output: Contribution to journalArticlepeer-review

17 Citations (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.
Original languageEnglish
Pages (from-to)901-909
Number of pages9
JournalJournal of Mathematical Physics
Volume33
Publication statusPublished - 1992

Keywords

  • quantum vortices, geometric quantization, Hopf invariant

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