Diffeomorphism groups and quantized vortex filaments

Gerald A. Goldin, Ralph Menikoff, David H. Sharp

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

The quantum hydrodynamics of an incompressible inviscid fluid in R2 or R3 is described by means of representations of the group of volume-preserving diffeomorphisms. In R2 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 R3.

Original languageEnglish (US)
Pages (from-to)2162-2164
Number of pages3
JournalPhysical review letters
Volume58
Issue number21
DOIs
StatePublished - Jan 1 1987

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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