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 a coadjoint orbit of the group of volume preserving diffeomorphisms of R^3. of R^3 and the Feynman-Onsager relation is traced back to the integrality of the orbit.
A geometric approach to quantum vortices
SPERA, Mauro
1989-01-01
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 a coadjoint orbit of the group of volume preserving diffeomorphisms of R^3. of R^3 and the Feynman-Onsager relation is traced back to the integrality of the orbit.
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