A Summation Procedure for Certain Feynman Integrals
- 1 January 1963
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (1) , 36-41
- https://doi.org/10.1063/1.1703885
Abstract
A mathematically rigorous summation procedure is developed for Feynman integrals involving a repulsive potential. The central idea of the proof is to connect certain Wiener integrals with the Feynman integral in question by making use of holomorphic vector‐valued functions and holomorphic semigroups.Keywords
This publication has 5 references indexed in Scilit:
- A Family of Integrals Serving to Connect the Wiener and Feynman IntegralsJournal of Mathematics and Physics, 1960
- Integration in Functional Spaces and its Applications in Quantum PhysicsJournal of Mathematical Physics, 1960
- On the product of semi-groups of operatorsProceedings of the American Mathematical Society, 1959
- On a class of Markov processesTransactions of the American Mathematical Society, 1951
- Space-Time Approach to Non-Relativistic Quantum MechanicsReviews of Modern Physics, 1948