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.

Penna, V., Rasetti, M., Spera, M., Quantum dynamics of 3-D vortices, Contributed paper, in Secondary Calculus and Cohomological Physics, (Mosca, 24-31 August 1997), American Mathematical Society, Providence 1998:219 173-193 [http://hdl.handle.net/10807/36200]

Quantum dynamics of 3-D vortices

Spera, Mauro
1998

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.
1998
Inglese
Secondary Calculus and Cohomological Physics
Secondary Calculus and Cohomological Physics
Mosca
Contributed paper
24-ago-1997
31-ago-1997
Penna, V., Rasetti, M., Spera, M., Quantum dynamics of 3-D vortices, Contributed paper, in Secondary Calculus and Cohomological Physics, (Mosca, 24-31 August 1997), American Mathematical Society, Providence 1998:219 173-193 [http://hdl.handle.net/10807/36200]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/36200
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