A Rigorous Approach to the Feynman-Vernon Influence Functional and its Applications. I

Albeverio, S. and Cattaneo, L. and Di Persio, L. and Mazzucchi, S. (2006) A Rigorous Approach to the Feynman-Vernon Influence Functional and its Applications. I. UNSPECIFIED. (Unpublished)

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    Abstract

    A rigorous representation of the Feynman-Vernon influence functional used to describe open quantum systems is given, based on the theory of infinite dimensional oscillatory integrals. An application to the case of the density matrices describing the Caldeira-Leggett model of two quantum systems with a quadratic interaction is treated.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA299.6 Analysis
    Uncontrolled Keywords: Oscillatory integrals, Feynman path integrals, Feynman-Vernon influence functional, Caldeira-Leggett model, open quantum systems.
    Report Number: UTM 696, April 2006
    Repository staff approval on: 06 Apr 2006

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