 

Lance Nielsen
Feynman's operational calculus in topological algebras
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print


Published: 
June 16, 2024. 
Keywords: 
Feynman's operational calculus, disentangling, topological algebras, stability, Feynman's rules. 
Subject [2010]: 
Primary 44A99; Secondary 46H30. 


Abstract
We develop a rather general version of Feynman's operational calculus.
Instead of using operatorvalued (or L(X)valued) functions
in the operational calculus, we use functions taking values in
a topological algebra E. While this complicates some aspects of
the operational calculus, it supplies a quite general framework in
which the timeordering calculations required for the operational
calculus can be carried out, allowing the operational calculus to
be used with functions taking values in any algebra which satisfies
the conditions which are imposed on the topological algebras considered
in this paper.


Acknowledgements
N/A


Author information
Lance Nielsen
Department of Mathematics
Creighton University
Omaha, NE 68178, USA
lnielsen@creighton.edu

