Rotation invariance of quantum Laplacians

DOI10.1080/17442508.2010.528762zbMath1257.81047OpenAlexW1988611622MaRDI QIDQ4648591

Samah Horrigue, Habib Ouerdiane

Publication date: 9 November 2012

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2010.528762

zbMATH Keywords

quantum Gross Laplacianquantum Beltrami Laplacianrotation-invariance operatorsspace of entire functions with growth conditionsymbols and kernels of operators

Mathematics Subject Classification ID

White noise theory (60H40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum stochastic calculus (81S25) Fourier integral operators applied to PDEs (35S30) Kernel operators (47B34)

Related Items (1)

Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative

Cites Work

• Rotation-invariant operators on white noise functionals
• Gross Laplacian acting on operators
• A duality theorem between spaces of holomorphic functions of exponential growth
• ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION

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