Diffeomorphism groups and quantized vortex filaments
Journal Article
·
· Phys. Rev. Lett.; (United States)
The quantum hydrodynamics of an incompressible inviscid fluid in R/sup 2/ or R/sup 3/ is described by means of representations of the group of volume-preserving diffeomorphisms. In R/sup 2/ we obtain the surprising result that within the framework of the Euler equations point vortices cannot be consistently quantized, and the encouraging outcome that vortex filaments can be. We also discuss analogs of such configurations in R/sup 3/.
- Research Organization:
- Departments of Mathematics and Physics, Rutgers University, New Brunswick, New Jersey 08903
- OSTI ID:
- 6400377
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 58:21; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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