Uncertainty principles for the Fock space
Kehe Zhu
TL;DR
This paper establishes various uncertainty principles within the Fock space, providing foundational insights into the limitations of simultaneous localization of functions and their transforms.
Contribution
It introduces new uncertainty principles specific to the Fock space, expanding the theoretical understanding of quantum and harmonic analysis.
Findings
Proved multiple uncertainty inequalities for the Fock space
Extended classical uncertainty principles to a complex function space
Provided mathematical tools for quantum information theory
Abstract
Several uncertainty principles are proved for the Fock space.
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Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Algebraic and Geometric Analysis