A geometric approach to quantum vortices

DOI10.1063/1.528512zbMath0698.76127OpenAlexW2038215092MaRDI QIDQ3476530

Vittorio Penna, Mauro Spera

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528512

zbMATH Keywords

Hamiltonian algebraFeynman-Onsager relationG-invariant Kaehler structureKirillov-Kostant-Souriau geometric quantizationtheory of quantum vortices

Mathematics Subject Classification ID

Applications of quantum theory to specific physical systems (81V99) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Geometric quantization (53D50)

Related Items

A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS, On coadjoint orbits of rotational perfect fluids, On the topological phases in a planar N-point vortex system, Hydrodynamics of the probability current in Schrödinger theory, Algebraic properties and spectral collapse in nonlinear quantum Rabi models, Moment map and gauge geometric aspects of the Schrödinger and Pauli equations, Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization, ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS, Remarks on quantum vortex theory on Riemann surfaces. -- Appendix A. An application: Vortices on an elliptic curve, Quantum vortex configurations in three dimensions

Cites Work

• Coadjoint orbits of the Virasoro group
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Particle statistics from induced representations of a local current group
• COHERENT STATES AND KAHLER MANIFOLDS
• An Expression of Hopf's Invariant as an Integral