Remarks on the Feynman representation

DOI10.2977/prims/1195178518zbMath0614.47037OpenAlexW2048988836MaRDI QIDQ1819718

Brian R. F. Jefferies

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178518

zbMATH Keywords

Trotter product formulaCoulomb potentialsFeynman's path integralclosable set functionthe class of integrable functions is complete

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Path integrals in quantum mechanics (81S40) Vector-valued measures and integration (46G10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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Cites Work

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• Approximation of semi-groups of operators
• Integration with respect to closable set functions
• Feynman integrals of non-factorable finite-dimensional functionals
• On the Product of Semi-Groups of Operators
• Feynman Integrals and the Schrödinger Equation