Quantum dynamics of 3-D vortices

Mauro Spera, Vittorio Penna, Mario Rasetti

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.
Original languageEnglish
Title of host publicationSecondary Calculus and Cohomological Physics
Number of pages21
Publication statusPublished - 1998
EventSecondary Calculus and Cohomological Physics - Mosca
Duration: 24 Aug 199731 Aug 1997


ConferenceSecondary Calculus and Cohomological Physics


  • vortex dynamics, symplectic geometry, geometric quantization, link invariants


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