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.

Penna, V., Spera, M., A geometric approach to quantum vortices, <<JOURNAL OF MATHEMATICAL PHYSICS>>, 1989; 30 (12): 2778-2784 [http://hdl.handle.net/10807/35632]

A geometric approach to quantum vortices

Spera, Mauro
1989

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.
Inglese
Citato in particolare in: 1) J.L. Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization. Birkh¨auser, Basel, 1993. 2) V.I. Arnol’d and B. Khesin, Topological Methods in Hydrodynamics. Springer, Berlin, 1998.
Penna, V., Spera, M., A geometric approach to quantum vortices, <<JOURNAL OF MATHEMATICAL PHYSICS>>, 1989; 30 (12): 2778-2784 [http://hdl.handle.net/10807/35632]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/35632
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