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Pré-Publication, Document De Travail Année : 2016

Berezin transforms attached to Landau levels on the complex projective space CPn

Nizar Demni
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  • IdHAL : nizar-demni
Houda Yaqine
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  • PersonId : 992016

Résumé

In this paper, we construct coherent states for each generalized Bergman space on the n-dimensional complex projective space in order to apply a coherent states quantization method. Doing so allows to define the Berezin transform for these spaces. In particular, we provide a variational formula for this transform by means of the Fubini-Study Laplace operator which reduces when n = 1 and for the lowest spherical Landau level to the well-known formula previously given by Berezin himself.

Dates et versions

hal-01389476 , version 1 (28-10-2016)

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Nizar Demni, Zouhair Mouayn, Houda Yaqine. Berezin transforms attached to Landau levels on the complex projective space CPn. 2016. ⟨hal-01389476⟩
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