# Coherent states and projective representation of the linear canonical transformations

@article{Daubechies1980CoherentSA, title={Coherent states and projective representation of the linear canonical transformations}, author={Ingrid Daubechies}, journal={Journal of Mathematical Physics}, year={1980}, volume={21}, pages={1377-1389} }

Using a family of coherent state representations we obtain in a natural and coordinate‐independent way an explicit realization of a projective unitary representation of the symplectic group. Dequantization of these operators gives us the corresponding classical functions.

## 17 Citations

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In recent years, the near diagonal asymptotics of the equivariant components of the Szego kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many…

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This paper deals with the local semiclassical asymptotics of a quantum evolution operator in the Berezin-Toeplitz scheme, when both time and phase space variables are subject to appropriate scalings…

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The correlation of the dictionary elements is characterized by measuring their ‘coherence’ and examples illustrating the relevance of highly coherent dictionaries to problems of sparse signal representation are produced.

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