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On Quantum Landau Damping

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Abstract

In this paper, we show that the Schrödinger–Poisson equations can be described by a kinetic theory in phase space by dint of the Wigner transform. Besides, we prove that nonlinear quantum Landau damping occurs.

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Funding

This research was supported by the doctoral research initiation funding in Xinyang Normal University [grant number 21016].

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  1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang, China

    Xixia Ma

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  1. Xixia Ma
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Correspondence to Xixia Ma.

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Ma, X. On Quantum Landau Damping. Int. J. Appl. Comput. Math 10, 83 (2024). https://doi.org/10.1007/s40819-023-01649-6

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  • DOI: https://doi.org/10.1007/s40819-023-01649-6

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