Stability theorem for the Feynman integral via time continuation

DOI10.1216/rmjm/1181070404zbMath0948.28007OpenAlexW2029967474MaRDI QIDQ1567141

Jung Ah Lim, Kun Soo Chang, Kun Sik Ryu

Publication date: 19 November 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-4/CONT29-4/CONT29-4.html

zbMATH Keywords

analytic Feynman integralstability theoremclosed formperturbation theoremgeneralized Kato class measure

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Spaces of measures, convergence of measures (28A33) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory and a dominated convergence theorem for Feynman integrals
• Perturbation of Dirichlet forms --- lower semiboundedness, closability, and form cores
• Introduction to the theory of (non-symmetric) Dirichlet forms
• The analytic operator-valued Feynman integral via additive functionals of Brownian motion
• Schrödinger semigroups
• A bounded convergence theorem for the Feynman integral
• Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman’s operational calculus

This page was built for publication: Stability theorem for the Feynman integral via time continuation