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Quantum Kinematics of Bosonic Vortex Loops

Conference ·
OSTI ID:762256
Poisson structure for vortex filaments (loops and arcs) in 2D ideal incompressible fluid is analyzed in detail. Canonical coordinates and momenta on coadjoint orbits of the area-preserving diffeomorphism group, associated with such vortices, are found. The quantum space of states in the simplest case of ''bosonic'' vortex loops is built within a geometric quantization approach to the description of a quantum fluid. Fock-like structure and non-local creation and annihilation operators of quantum vortex filaments are introduced.
Research Organization:
Los Alamos National Lab., NM (US)
Sponsoring Organization:
National Institutes of Health (US)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
762256
Report Number(s):
LA-UR-99-2262
Country of Publication:
United States
Language:
English

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