A white noise approach to phase space Feynman path integrals (Q2849271)

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scientific article; zbMATH DE number 6208794
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A white noise approach to phase space Feynman path integrals
scientific article; zbMATH DE number 6208794

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    A white noise approach to phase space Feynman path integrals (English)
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    17 September 2013
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    Feynman integral
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    white noise analysis
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    Hida distribution
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    harmonic oscillator
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    Schrödinger equation
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    Green's function
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    The authors establish the concept of the Feynman path integral in phase spaces in the framework of white noise analysis and provide some examples and applications in mathematical physics. In particular, the harmonic oscillator and the Schrödinger equation are treated. The approach relies on constructing the integrand as a Hida distribution and finding its corresponding generating functional.
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