Abstract
Part III is devoted to some analytical results useful in the consideration of the stochastic limit. As explained in the Preface, we will not include the detailed proofs of all the equations deduced in the text. Instead of this we have tried to condense into a few mathematical theorems, the basic estimates which can be applied to a multiplicity of models. We have organized the material as follows:
In Chap. 15, we give some basic analytical results. These essentially amount to an analytical representation and estimates of the Feynman diagrams. These estimates allow one to take the term-by-term limit of the iterated series expansion of the evolution operator.
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© 2002 Springer-Verlag Berlin Heidelberg
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Accardi, L., Volovich, I., Lu, Y.G. (2002). Analytical Theory of Feynman Diagrams. In: Quantum Theory and Its Stochastic Limit. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04929-7_15
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DOI: https://doi.org/10.1007/978-3-662-04929-7_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07543-8
Online ISBN: 978-3-662-04929-7
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