A simple counterexample related to the Lie-Trotter product formula

2011/03/25 by Claudia Canzi, Canzi, Claudia, Graziano Guerra +1
Mathematics · Physics and Astronomy · #47D03 #47D06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #advanced mathematical theories #math.AP #msc:47D03 #msc:47D06

paper · pdf · doi:10.48550/arxiv.1103.4997

7 pages

arxiv created 2011/03/25 · openalex publication_date 2011/03/25 · arxiv updated 2011/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note a very simple example is given which shows that if the sum of two semigroup generators is itself a generator, the generated semigroup in general can not be rapresented by the Lie-Trotter product formula.

Citations

• On the product of semi-groups of operators

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