Uniform product formulae with application to the Feynman-Nelson integral for open systems

DOI10.1007/BF00401740zbMath0487.28013OpenAlexW1997083761MaRDI QIDQ1165340

G. I. Kolerov, Pavel Exner

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00401740

zbMATH Keywords

Lie-Trotter formulaFeynman-Ito formula for open systemsperturbations of propagatorssolving evolution equations by means of path integralsuniform Feynman-Nelson integral

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

Complex-potential description of the damped harmonic oscillator ⋮ On the Feynman paths

Cites Work

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• On the cylindrical approximation of the Feynman path integral
• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• Product formulas for perturbations of linear propagators
• Note on product formulas for operator semigroups
• Feynman Integrals and the Schrödinger Equation

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