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METHODOLOGICAL NOTES

On description of a collisionless quantum plasma

S. V. Vladimirov^ab, Yu. O. Tyshetskiy<sup>ac

a</sup> School of Physics, The University of Sydney
^b Joint Institute for High Temperatures, Russian Academy of Sciences
^c School of Physics and Technology, V. N. Karazin Kharkiv National University

Abstract: 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 collisioniess 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

Received: December 21, 2010
Revised: May 23, 2011
Accepted: May 21, 2011

DOI: 10.3367/UFNr.0181.201112g.1313

 English version: Physics–Uspekhi, 2011, 54:12, 1243–1256

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