Vortices in He II, current algebras and quantum knots

M. Rasetti and T. Regge

Physica A: Statistical Mechanics and its Applications, 1975, vol. 80, issue 3, 217-233

Abstract: A canonical quantization scheme is developed for vertices in superfluid He II, using Dirac's technique for constrained hamiltonian systems. Quantization introduces in the theory in natural way the structure of the infinite Lie algebra of incompressible flows. We argue that all the topological invariants of the vortex, considered as a knot, can be regarded as observables of the system. Finally unitary representations of measure preserving flows on R3 and current algebra are discussed.

Date: 1975
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:80:y:1975:i:3:p:217-233

DOI: 10.1016/0378-4371(75)90105-3

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