Twistor quantization of the space of half-differentiable vector functions on the circle revisited

We discuss the twistor quantization problem for the classical system(Vd,Ad),represented by the phase space Vd,identified with the Sobolev space H 1/2 0 (S1,Rd)of half-differentiable vector functions on the circle,and the algebra of observables Ad,identified with the semi-direct product of the Heisen...

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Bibliographic Details
Published in:中国科学：数学英文版 2009 (12), p.2714-2729
Main Author: SERGEEV Armen
Format: Article
Language:English
Subjects:
circle
diffeomorphisms
functions
group
half-differentiable
quantization
Sobolev
space
the
twistor
Online Access:Get full text
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Summary:We discuss the twistor quantization problem for the classical system(Vd,Ad),represented by the phase space Vd,identified with the Sobolev space H 1/2 0 (S1,Rd)of half-differentiable vector functions on the circle,and the algebra of observables Ad,identified with the semi-direct product of the Heisenberg algebra of Vd and the algebra Vect(S1)of tangent vector fields on the circle.
ISSN:1674-7283
1869-1862