PreprintCC BY 4.0HAL
Quantum Landau Damping with Coulomb Repulsion in the Whole Space
Abstract
In this paper, we study the large time behavior of solutions to the linearized Hartree equation near a stable equilibrium which is homogeneous in space and investigate the quantum Landau damping. This allows us to get time decay of the electric field, uniformly in the Planck constant, as well as the uniform-in-time convergence of the quantum density towards the classical density as the Planck constant converges to 0.
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BibTeX
@misc{bian2026quantum,
title = {{Quantum Landau Damping with Coulomb Repulsion in the Whole Space}},
author = {Dongfen Bian and Emmanuel Grenier and Laurent Lafleche and Quoc Hung Nguyen},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02040},
eprint = {2609.02040},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05737651v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Landau Damping with Coulomb Repulsion in the Whole Space
AU - Dongfen Bian
AU - Emmanuel Grenier
AU - Laurent Lafleche
AU - Quoc Hung Nguyen
PY - 2026
DA - 2026/09/02
PB - HAL
DO - 10.48550/arxiv.2609.02040
UR - https://hal.science/hal-05737651v1
AB - In this paper, we study the large time behavior of solutions to the linearized Hartree equation near a stable equilibrium which is homogeneous in space and investigate the quantum Landau damping. This allows us to get time decay of the electric field, uniformly in the Planck constant, as well as the uniform-in-time convergence of the quantum density towards the classical density as the Planck constant converges to 0.
ER -