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Towards a Comprehensive Stability Theory for Feynman’s Operational Calculus: The Time-Dependent Setting
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Journal Article
Towards a Comprehensive Stability Theory for Feynman’s Operational Calculus: The Time-Dependent Setting
2017
Overview
We establish a comprehensive stability theory for Feynman’s operational calculus (informally, the forming of functions of several noncommuting operators) in the time-dependent setting. Indeed, the main theorem, Theorem
2
, contains many of the current stability theorems for the operational calculus and allows the stability theory to be significantly extended. The assumptions needed for the main theorem, Theorem
2
, are rather mild and fit in nicely with the current abstract theory of the operational calculus in the time-dependent setting. Moreover, Theorem
2
allows the use of arbitrary time-ordering measures, as long as the discrete parts of these measures are finitely supported.
Publisher
Springer Netherlands,Springer Nature B.V
