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math-ph2022
Axiomatic field theory and Hida-Colombeau algebras
Alexei Filinkov, Ian G. Fuss
An axiomatic quantum field theory applied to the self-interacting boson field is realised in terms of generalised operators that allows us to form products and take derivatives of…
math-ph2014
An introduction to generalised functions in periodic quantum theory
Ian G Fuss, Alexei Filinkov
A proof that minimum uncertainty states of the simplest periodic quantum system exist in a state space that is represented by a Colombeau algebra of generalised functions but not i…