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Article Dans Une Revue Letters in Mathematical Physics Année : 2014

The pre-Lie structure of the time-ordered exponential

Résumé

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.

Dates et versions

hal-00866614 , version 1 (26-09-2013)

Identifiants

Citer

Kurusch Ebrahimi-Fard, Frederic Patras. The pre-Lie structure of the time-ordered exponential. Letters in Mathematical Physics, 2014, 104, pp.1281-1302. ⟨10.1007/s11005-014-0703-4⟩. ⟨hal-00866614⟩
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