Quantum dynamics of 3-D vortices

Mauro Spera, Vittorio Penna, Mario Rasetti

Risultato della ricerca: Contributo in libroContributo a convegno

Abstract

We give an extensive review of both the methods of approach and the available solutions to the problem of providing a complete quantum descriprion of 3-D vortex dynamics. The leading technique is an appropriate form of geometric quantization based on current algebra, implemented in the framework of the Clebsch fluid descriprtion combined with the coadjoint orbit picture. We show how, in the ensuing quantum field theory for the vortex gas, the dynamical constants of motion identify with the topological invariants of the vortex configuration considered a s an unknotted link.
Lingua originaleEnglish
Titolo della pubblicazione ospiteSecondary Calculus and Cohomological Physics
Pagine173-193
Numero di pagine21
Volume219
Stato di pubblicazionePubblicato - 1998
EventoSecondary Calculus and Cohomological Physics - Mosca
Durata: 24 ago 199731 ago 1997

Convegno

ConvegnoSecondary Calculus and Cohomological Physics
CittàMosca
Periodo24/8/9731/8/97

Keywords

  • vortex dynamics, symplectic geometry, geometric quantization, link invariants

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