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Applications of white noise calculus to the computation of Feynman integrals - MaRDI portal

Applications of white noise calculus to the computation of Feynman integrals (Q1105913)

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scientific article; zbMATH DE number 4060437
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Applications of white noise calculus to the computation of Feynman integrals
scientific article; zbMATH DE number 4060437

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    Applications of white noise calculus to the computation of Feynman integrals (English)
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    1988
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    The paper is essentially based on the white noise calculus, developed by \textit{T. Hida} [Brownian motion (1980; Zbl 0432.60002)]. Lévy's stochastic area, considered in terms of Hida's calculus, is used to explicitly calculate the Feynman propagator in a uniform magnetic field. With the same technique, a rigorous treatment of Feynman integrals of two-time quadratic actions is given.
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    white noise calculus
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    Hida's calculus
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    Feynman propagator in a uniform magnetic field
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    Feynman integrals
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