Unbounded operators and the uncertainty principle

2024/07/22 by Friedrich Haslinger, Haslinger, Friedrich
Physics and Astronomy · #32A36 #Complex Variables (math.CV) #FOS: Mathematics #Primary 30H20 #Quantum Mechanics and Applications #Secondary 81S05

paper · pdf · doi:10.48550/arxiv.2407.15803

openalex publication_date 2024/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a variant of the uncertainty principle in terms of the annihilation and creation operator on generalized Segal Bargmann spaces, which are used for the FBI-Bargmann transform. In addition, we compute the Berezin transform of these operators and indicate how to use spaces of entire functions in one variable to study the Szegő kernel for hypersurfaces in \mathbb C².

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