Coherent states quantization for generalized Bargmann spaces with formulae for their attached Berezin transforms in terms of the Laplacian on \(\mathbb C^{N }\)

DOI10.1007/s00041-011-9213-2zbMath1260.46019arXiv1101.0379OpenAlexW2106076349MaRDI QIDQ438657

Zouhaïr Mouayn

Publication date: 31 July 2012

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0379

zbMATH Keywords

Schrödinger equationcoherent statesBerezin transformmagnetic potentialEuclidean Laplaciangeneralized Bargmann spaces

Mathematics Subject Classification ID

Coherent states (81R30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ) ⋮ Coherent state quantization of quaternions ⋮ Epsilon coherent states with polyanalytic coefficients for the harmonic oscillator ⋮ 2D-Zernike polynomials and coherent state quantization of the unit disc

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