On coadjoint orbits of rotational perfect fluids

Mauro Spera; Vittorio Penna

On coadjoint orbits of rotational perfect fluids

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

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 originale	English
pagine (da-a)	901-909
Numero di pagine	9
Rivista	Journal of Mathematical Physics
Volume	33
Stato di pubblicazione	Pubblicato - 1992

Keywords

quantum vortices, geometric quantization, Hopf invariant

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

author = "Mauro Spera and Vittorio Penna",

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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T1 - On coadjoint orbits of rotational perfect fluids

AU - Spera, Mauro

AU - Penna, Vittorio

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 -