On the quantization of the planar N-point vortex problem

DOI10.1063/1.530120zbMath0774.76020OpenAlexW2085570885MaRDI QIDQ4203216

Yihren Wu

Publication date: 8 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530120

zbMATH Keywords

braidingBerry's phaseconnection on a principal bundlegeometric/topological invariants

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Applications of manifolds of mappings to the sciences (58D30) General quantum mechanics and problems of quantization (81S99)

Related Items (2)

ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS ⋮ Remarks on quantum vortex theory on Riemann surfaces. -- Appendix A. An application: Vortices on an elliptic curve

Cites Work

• Quantal phase factors accompanying adiabatic changes
• Generalized coherent states and Berry’s phase
• On coadjoint orbits of rotational perfect fluids
• On the topological phases in a planar N-point vortex system
• Quantum vortex configurations in three dimensions

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