A geometric approach to quantum vortices

Mauro Spera, Vittorio Penna

Research output: Contribution to journalArticlepeer-review

21 Citations (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.
Original languageEnglish
Pages (from-to)2778-2784
Number of pages7
JournalJournal of Mathematical Physics
Volume30
Publication statusPublished - 1989

Keywords

  • geometric quantization, quantum vortices, Rasetti-Regge theory

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