A geometric approach to quantum vortices

Mauro Spera, Vittorio Penna

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

21 Citazioni (Scopus)

Abstract

In this paper a geometrical description is given of the theory of quantum vortices first developed by M.Rasetti and T.Regge, relying on the symplectic techniques introduced by J.Marsden and A.Weinstein and of the Kirillov-Kostant-Souriau geometric quantization prescription. The RR current algebra is intepreted as the natural hamiltonian algebra associated to a certain coadjoint orbit of the group of volume preserving diffeomorphisms of R^3. and the Feynman-Onsager relation is traced back to the integrality of the orbit.
Lingua originaleEnglish
pagine (da-a)2778-2784
Numero di pagine7
RivistaJournal of Mathematical Physics
Volume30
Stato di pubblicazionePubblicato - 1989

Keywords

  • geometric quantization, quantum vortices, Rasetti-Regge theory

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