11 citations · 33 across the 6 of their papers we have counts for
6 papers
Mathematics of the Quantum Zeno Effect
Andreas U. Schmidt
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional analytic results are put into perspective and compared with more recent ones. Th…
A Model for Prejudiced Learning in Noisy Environments
Andreas U. Schmidt
Based on the heuristics that maintaining presumptions can be beneficial in uncertain environments, we propose a set of basic axioms for learning systems to incorporate the concept…
Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions
Andreas U. Schmidt
We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier…
Infinite Infrared Regularization and a State Space for the Heisenberg Algebra
Andreas U. Schmidt
We present a method for the construction of a Krein space completion for spaces of test functions, equipped with an indefinite inner product induced by a kernel which is more singu…
Euclidean Reconstruction in Quantum Field Theory: Between tempered distributions and Fourier Hyperfunctions
Andreas U. Schmidt
I want to point out the mathematical difficulties that arise in the study of the relation of Wightman and Euclidean quantum field theory, i.e., the relation between the hierarchies…
Mathematical Problems of Gauge Quantum Field Theory: A Survey on the Schwinger Model
Andreas U. Schmidt
This extended write-up of a talk gives an introductory survey of mathematical problems of the quantization of gauge systems. Using the Schwinger model as an exactly tractable but n…