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.
Quantum dynamics of 3-D vortices
SPERA, Mauro
1998-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.