On coadjoint orbits of rotational perfect fluids

Vittorio Penna; Mauro Spera

On coadjoint orbits of rotational perfect fluids

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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 language	English
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

Cite this

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title = "On coadjoint orbits of rotational perfect fluids",

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.",

keywords = "quantum vortices, geometric quantization, Hopf invariant, quantum vortices, geometric quantization, Hopf invariant",

author = "Vittorio Penna and Mauro Spera",

year = "1992",

language = "English",

volume = "33",

pages = "901--909",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "New York: American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704 AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, USA, NY, 11747-4501",

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TY - JOUR

T1 - On coadjoint orbits of rotational perfect fluids

AU - Penna, Vittorio

AU - Spera, Mauro

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

KW - quantum vortices, geometric quantization, Hopf invariant

UR - http://hdl.handle.net/10807/35631

M3 - Article

VL - 33

SP - 901

EP - 909

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -

On coadjoint orbits of rotational perfect fluids

Abstract

Keywords

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