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Semiclassical Evolution With Low Regularity

Abstract : We prove semiclassical estimates for the Schrödinger-von Neumann evolution with $C^{ 1,1}$ potentials and density matrices whose square root have either Wigner functions with low regularity independent of the dimension, or matrix elements between Hermite functions having long range decay. The estimates are settled in different weak topologies and apply to the N body quantum dynamics uniformly in N .
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https://hal.archives-ouvertes.fr/hal-02619489
Contributor : Thierry Paul <>
Submitted on : Monday, May 25, 2020 - 5:13:40 PM
Last modification on : Wednesday, December 2, 2020 - 3:37:14 AM

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  • HAL Id : hal-02619489, version 1

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François Golse, Thierry Paul. Semiclassical Evolution With Low Regularity. 2020. ⟨hal-02619489v1⟩

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