Quantum kinematics of bosonic vortex loops

DOI10.1063/1.1853504zbMath1067.81079OpenAlexW2605769733MaRDI QIDQ3024280

David H. Sharp, Robert Owczarek, Gerald A. Goldin

Publication date: 30 June 2005

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc716524/

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Turbulence (76F99) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (1)

Remarks on Chebyshev polynomials, Fibonacci polynomials and Kauffman bracket skein modules

Cites Work

• One physical problem with possible mathematical significance
• Helicity theorem and vortex lines in superfluid \({}^ 4He\)
• Korteweg - de Vries suoerequation as an Euler equation
• Quantum field theory and the Jones polynomial
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Particle statistics from induced representations of a local current group
• Quantum phase transitions from a new class of representations of a diffeomorphism group
• Quantum vortex configurations in three dimensions
• An integrable shallow water equation with peaked solitons
• Diffeomorphism Groups, Anyon Fields, andqCommutators
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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