Quantum dynamics of 3-D vortices

Mauro Spera; Vittorio Penna; Mario Rasetti

Quantum dynamics of 3-D vortices

Mauro Spera, Vittorio Penna, Mario Rasetti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	Secondary Calculus and Cohomological Physics
Pages	173-193
Number of pages	21
Volume	219
Publication status	Published - 1998
Event	Secondary Calculus and Cohomological Physics - Mosca Duration: 24 Aug 1997 → 31 Aug 1997

Conference

Conference	Secondary Calculus and Cohomological Physics
City	Mosca
Period	24/8/97 → 31/8/97

Keywords

vortex dynamics, symplectic geometry, geometric quantization, link invariants

Cite this

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title = "Quantum dynamics of 3-D vortices",

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.",

keywords = "vortex dynamics, symplectic geometry, geometric quantization, link invariants, vortex dynamics, symplectic geometry, geometric quantization, link invariants",

author = "Mauro Spera and Vittorio Penna and Mario Rasetti",

year = "1998",

language = "English",

volume = "219",

pages = "173--193",

booktitle = "Secondary Calculus and Cohomological Physics",

note = "Secondary Calculus and Cohomological Physics ; Conference date: 24-08-1997 Through 31-08-1997",

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TY - GEN

T1 - Quantum dynamics of 3-D vortices

AU - Spera, Mauro

AU - Penna, Vittorio

AU - Rasetti, Mario

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - vortex dynamics, symplectic geometry, geometric quantization, link invariants

UR - http://hdl.handle.net/10807/36200

M3 - Conference contribution

VL - 219

SP - 173

EP - 193

BT - Secondary Calculus and Cohomological Physics

T2 - Secondary Calculus and Cohomological Physics

Y2 - 24 August 1997 through 31 August 1997

ER -

Quantum dynamics of 3-D vortices

Abstract

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Keywords

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