A dominated-type convergence theorem for the Feynman integral

DOI10.1063/1.533294zbMath0979.81041OpenAlexW2063508824MaRDI QIDQ2737996

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Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533294

zbMATH Keywords

Trotter product formulaoperator-valued Feynman integral

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Schrödinger and Feynman-Kac semigroups (47D08)

Cites Work

• Perturbation theory and a dominated convergence theorem for Feynman integrals
• Product formula for imaginary resolvents with application to a modified Feynman integral
• Absorption semigroups, their generators, and Schrödinger semigroups
• Dominated semigroups with singular complex potentials
• The analytic operator-valued Feynman integral via additive functionals of Brownian motion
• Perturbation of Dirichlet forms by measures
• A bounded convergence theorem for the Feynman integral
• Feynman Integrals and the Schrödinger Equation

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