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Pré-Publication, Document De Travail Année : 2004

Deformation quantization on a Hilbert space

Giuseppe Dito
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Résumé

We study deformation quantization on an infinite-dimensional Hilbert space $W$ endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made explicit and it is shown that it is well defined on a subalgebra of $C^\infty(W)$. A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.
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Dates et versions

hal-00002152 , version 1 (26-06-2004)

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Giuseppe Dito. Deformation quantization on a Hilbert space. 2004. ⟨hal-00002152⟩
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