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The Pre-Lie Structure of the Time-Ordered Exponential.
- Source :
-
Letters in Mathematical Physics . Oct2014, Vol. 104 Issue 10, p1281-1302. 22p. - Publication Year :
- 2014
-
Abstract
- The usual time-ordering operation and the corresponding time-ordered exponential play a fundamental role in physics and applied mathematics. In this work, we study a new approach to the understanding of time-ordering relying on recent progress made in the context of enveloping algebras of pre-Lie algebras. Various general formulas for pre-Lie and Rota-Baxter algebras are obtained in the process. Among others, we recover the noncommutative analog of the classical Bohnenblust-Spitzer formula, and get explicit formulae for operator products of time-ordered exponentials. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03779017
- Volume :
- 104
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Letters in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 97810441
- Full Text :
- https://doi.org/10.1007/s11005-014-0703-4