An Integral Equation for Feynman's Operational Calcului

zbMath1213.47018arXiv0912.3041MaRDI QIDQ3589430

Lance Nielsen

Publication date: 20 September 2010

Full work available at URL: https://arxiv.org/abs/0912.3041

zbMATH Keywords

Banach algebraSchrödinger equationFeynman-Kac formulaheat transport equationfunctional calculusFeynman integraldisentangling

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (3)

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples ⋮ Imaginary part of action, future functioning as hidden variables ⋮ Combining continuous and discrete phenomena for Feynman's operational calculus in the presence of a \((C_0)\) semigroup and Feynman-Kac formulas with Lebesgue-Stieltjes measures

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