The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case

DOI10.1007/BF01195113zbMath0697.46017MaRDI QIDQ911001

Michel L. Lapidus

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Wiener measureLebesgue-Stieltjes measureWiener spaceoperator-valued functionVolterra-Stieltjes integral equationfree Hamiltonian

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Volterra integral equations (45D05)

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Cites Work

• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• The differential equation for the Feynman-Kac formula with a Lebesgue- Stieltjes measure
• Product integration of measures and applications
• The Feynman-Kac Formula with a Lebesgue-Stieltjes Measure and Feynman's Operational Calculus
• Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman’s operational calculus
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An Operator Calculus Having Applications in Quantum Electrodynamics
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