Time-ordered operators. I. Foundations for an alternative view of reality
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- by Tepper L. Gill PDF
- Trans. Amer. Math. Soc. 266 (1981), 161-181 Request permission
Abstract:
The purpose of this paper is to present the proper framework for the mathematical foundations of time-ordered operators. We introduce a new mathematical process which we call the chronological process. This process generalizes the notion of a limit and allows us to recapture many properties lost in time-ordering. We then construct time-ordered integrals and evolution operators. We show that under reasonable assumptions, the time-ordered sum of two generators of contraction semigroups is a generator. This result resolves a question that has been debated in physics for forty years.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 266 (1981), 161-181
- MSC: Primary 47D05; Secondary 22E65, 81C99
- DOI: https://doi.org/10.1090/S0002-9947-1981-0613790-2
- MathSciNet review: 613790