On description of a collisionless quantum plasma

S.V. Vladimirov^a, b, Yu.O. Tyshetskiy^c, a
^aSchool of Physics, The University of Sydney, Sydney, Australia
^bJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^cV.N. Karazin Khar'kov National University, pl. Svobody 4, Khar'kov, 61077, Ukraine

A plasma is regarded as quantum if its macroscopic properties are significantly affected by the quantum nature of its constituent particles. A proper description is necessary to comprehend when collective quantum plasma effects are important. In this paper, the most commonly used microscopic approaches to describe a collisionless quantum plasma are reviewed, together with their related assumptions and restrictions. In particular, the quantum plasma hydrodynamic approximation is analyzed in detail, and the analytical properties of the linear dielectric response function obtained from quantum plasma kinetic theory are investigated. Special attention is paid to what we consider to be the most important problems that have already appeared in the linear approximation and require further studies.

PACS: 05.30.Fk, 52.25.−b, 52.35.−g (all)
DOI: 10.3367/UFNe.0181.201112g.1313
URL: https://ufn.ru/en/articles/2011/12/c/
Web of Science

000303761500003
ADS NASA

2011PhyU...54.1243V
Citation: Vladimirov S V, Tyshetskiy Yu O "On description of a collisionless quantum plasma" Phys. Usp. 54 1243–1256 (2011)

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Received: 21st, December 2010, revised: 23rd, May 2011, accepted: 23rd, May 2011

Оригинал: Владимиров С В, Тышецкий Ю О «Об описании бесстолкновительной квантовой плазмы» УФН 181 1313–1328 (2011); DOI: 10.3367/UFNr.0181.201112g.1313

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