The Pre-Lie Structure of the Time-Ordered Exponential |
| |
Authors: | Kurusch Ebrahimi-Fard Frédéric Patras |
| |
Institution: | 1. ICMAT, C/Nicolás Cabrera, no. 13-15, 28049, Madrid, Spain 2. Univ. de Nice, Labo. J.-A. Dieudonné, UMR 7351, CNRS, Parc Valrose, 06108, Nice Cedex 02, France
|
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|