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. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- National Institutes of Health (US)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 762256
- Report Number(s):
- LA-UR-99-2262; TRN: US0100125
- Resource Relation:
- Conference: 81st Statistical Mechanics Conference, New Brunswick, NJ (US), 05/06/1999--05/10/1999; Other Information: PBD: 6 May 1999
- Country of Publication:
- United States
- Language:
- English
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