On the Feynman paths

DOI10.1007/BF00403274zbMath0571.28011MaRDI QIDQ1061886

Pavel Exner

Publication date: 1982

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

zbMATH Keywords

evolution operatorapparatus functionFeynman pathstime evolution of a quantum mechanical system which is continually observed

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator algebras to the sciences (47L90) Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• Uniform product formulae with application to the Feynman-Nelson integral for open systems
• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• Note on product formulas for operator semigroups
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• Semigroup product formulas and addition of unbounded operators

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