A formula representing magnetic Berezin transforms as functions of the Laplacian on ℂn

DOI10.1080/10652469.2010.546622zbMath1237.47049arXiv1004.2957OpenAlexW2117351618MaRDI QIDQ3107307

Zouhaïr Mouayn, Nour Eddine Askour, Ahmed Intissar

Publication date: 23 December 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2957

zbMATH Keywords

Berezin transformSchrödinger operator with magnetic fieldEuclidean Laplaciangeneralized Bargmann-Fock spaces

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

The polyanalytic Ginibre ensembles ⋮ Coherent states quantization for generalized Bargmann spaces with formulae for their attached Berezin transforms in terms of the Laplacian on \(\mathbb C^{N }\) ⋮ Asymptotic expansion of polyanalytic Bergman kernels ⋮ Spectral theory of magnetic Berezin transforms on the complex projective space

Cites Work

• General concept of quantization
• Spectral decomposition and resolvent kernel for a magnetic Laplacian in Cn
• Decomposition of magnetic Berezin transforms on the Euclidean complex space ℂⁿ
• Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants
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