Time-ordered operators. II
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- by Tepper L. Gill PDF
- Trans. Amer. Math. Soc. 279 (1983), 617-634 Request permission
Abstract:
In this paper, we substantially improve on the work of [G1]. After constructing the general mathematical foundations for linear time-ordered evolution equations, we apply our results to show that both the perturbation expansion and the Feynman diagram method are mathematically sound. We provide a remainder term so that the expansion may be considered exact at all orders. We then show that time-ordered operators naturally induce an operator-valued path integral whenever a transition kernel is given.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 279 (1983), 617-634
- MSC: Primary 47D05; Secondary 35K22, 81C35
- DOI: https://doi.org/10.1090/S0002-9947-1983-0709572-5
- MathSciNet review: 709572