The differential equation for the Feynman-Kac formula with a Lebesgue- Stieltjes measure

DOI10.1007/BF00417458zbMath0635.35081WikidataQ115395009 ScholiaQ115395009MaRDI QIDQ1097416

Michel L. Lapidus

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

time integrationBorel measureLebesgue-Stieltjes measureFeynman-Kac formuladiscontinuityexplicit expressionVolterra-Stieltjes integral equationproduct integral representation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples, Functions in the Fresnel Class, Noncommutative operations on Wiener functionals and Feynman's operational calculus, The Feynman integral and Feynman's operational calculus: A heuristic and mathematical introduction, The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case, An operational construction of the sum of two non-commuting observables in quantum theory and related constructions, 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, Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture, The Feynman-Kac Formula with a Lebesgue-Stieltjes Measure and Feynman's Operational Calculus, On the heat equation with a time-dependent singular potential

Cites Work

• Unnamed Item
• Perturbation theory and a dominated convergence theorem for Feynman integrals
• The Feynman-Kac Formula with a Lebesgue-Stieltjes Measure and Feynman's Operational Calculus
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An Operator Calculus Having Applications in Quantum Electrodynamics