The Feynman Integral and Feynman's Operational Calculus

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The physical phenomenon of Brownian motionWiener measureScaling in Wiener space and the analytic Feynman integralStochastic processes and the Wiener processQuantum dynamics and the Schrödinger equationThe Feynman integral: heuristic ideas and mathematical difficultiesSemigroups of operators: an informal introductionLinear semigroups of operatorsUnbounded self-adjoint operators and quadratic formsProduct formulas with applications to the Feynman integralThe Feynman-Kac formulaAnalytic-in-time or -mass operator-valued Feynman integralsFeynman's operational calculus for noncommuting operators: an introductionGeneralized Dyson series, the Feynman integral and Feynman's operational calculusStability resultsThe Feynman-Kac formula with a Lebesgue-Stieltjes measure and Feynman's operational calculusNoncommutative operations on Wiener functionals, disentangling algebras and Feynman's operational calculusFeynman's operational calculus and evolution equationsFurther work on or related to the Feynman integral

TÉLÉCHARGER
AUTEUR Gerald-W Johnson
DATE DE PUBLICATION 2000-Mar-06
TAILLE DU FICHIER 3,61 MB
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PDF The Feynman Integral and Feynman's Operational Calculus

Feynman's Operational Calculus Background How do we form functions of operators? Disentangling Feynman, in his 1951 paper [Feyn51] makes the following remark concerning the process of disentangling: The process is not always easy to perform and, in fact, is the central problem of this operator calculus. (p. 110) Also found in the same paper is ...

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