Gradient correction and Bohm potential for two‐ and one‐dimensional electron gases at a finite temperature

From the static polarization function of electrons in the random phase approximation, the quantum Bohm potential for the quantum hydrodynamic description of electrons and the density gradient correction to the Thomas–Fermi free energy at a finite temperature for the two‐ and one‐dimensional cases ar...

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Bibliographic Details
Published in:Contributions to plasma physics (1988) 2017-11, Vol.57 (10), p.499-505
Main Authors: Moldabekov, Zh.A., Bonitz, M., Ramazanov, T.S.
Format: Article
Language:English
Subjects:
Electrons
Fermion systems and electron gas
Free energy
Gases
Plasmas
quantum plasmas
Temperature
Thomas–Fermi model
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Summary:From the static polarization function of electrons in the random phase approximation, the quantum Bohm potential for the quantum hydrodynamic description of electrons and the density gradient correction to the Thomas–Fermi free energy at a finite temperature for the two‐ and one‐dimensional cases are derived. The behaviour of the Bohm potential and of the density gradient correction as a function of the degeneracy parameter is discussed. Based on recent developments in the fluid description of quantum plasmas, the Bohm potential for the high‐frequency domain is presented.
ISSN:0863-1042
1521-3986
DOI:10.1002/ctpp.201700113