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

DOI10.1007/s00020-018-2428-8zbMath1388.58006OpenAlexW2792869814MaRDI QIDQ1743557

Lance Nielsen

Publication date: 13 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00020-018-2428-8

zbMATH Keywords

evolution equationLebesgue-Stieltjes measureFeynman-Kac formulasoperational calculusdisentangling

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Measures and integration on abstract linear spaces (46G12) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Equations in function spaces; evolution equations (58D25) Classical operational calculus (44A45) Volterra integral equations (45D99)

Related Items (3)

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples ⋮ Two approaches to the use of unbounded operators in Feynman's operational calculus ⋮ An operational construction of the sum of two non-commuting observables in quantum theory and related constructions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Feynman's operational calculi for noncommuting operators: definitions and elementary properties
• The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case
• The differential equation for the Feynman-Kac formula with a Lebesgue- Stieltjes measure
• Feynman's operational calculus and evolution equations
• Feynman's operational calculi for noncommuting operators: The monogenic calculus
• Feynman's operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor
• Feynman's Operational Calculus and Beyond
• The Feynman-Kac Formula with a Lebesgue-Stieltjes Measure and Feynman's Operational Calculus
• An Integral Equation for Feynman's Operational Calcului
• Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman’s operational calculus
• FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY
• Certain Hilbert spaces of entire functions
• An Operator Calculus Having Applications in Quantum Electrodynamics

This page was built for publication: 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