Le lemme d’Egorov et 2/3
[2/3 Egorov Lemma]
Yannick Guedes Bonthonneau1
1Laboratoire Analyse, Géométrie et Applications Université Sorbonne Paris Nord, CNRS 93430 Villetaneuse France
Journées équations aux dérivées partielles (2024), Talk no. 2, 10 p.

Reprenant l’argument classique pour un Lemme d’Egorov en temps long, il s’avère que le temps d’Ehrenfest prend la forme (2/3)|logh|/λ, au lieu du temps (1/2)|logh|/λ communément admis.

The long time Egorov lemma concerns the Heisenberg propagation of observables. It is usually considered to be valid in the range |t|≤(1/2)|logh|/λ. After careful inspection of the proof, it turns out to hold in the larger range |t|≤(2/3)|logh|/λ. This applies to operators with no particular dynamical assumption or geometric structure.

Published online:
DOI: 10.5802/jedp.683

Yannick Guedes Bonthonneau  1

1 Laboratoire Analyse, Géométrie et Applications Université Sorbonne Paris Nord, CNRS 93430 Villetaneuse France 
Yannick Guedes Bonthonneau. Le lemme d’Egorov et $2/3$. Journées équations aux dérivées partielles (2024), Talk no. 2, 10 p.. doi: 10.5802/jedp.683
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