Theoretical foundations of quantum hydrodynamics for plasmas
By Z. Moldabekov, Michael Bonitz, T. Ramazanov. 2017
156 citations recorded by the source corpus.
Beginning from the semiclassical Hamiltonian, the Fermi pressure and Bohm potential for the quantum hydrodynamics application (QHD) at finite temperature are consistently derived in the framework of the local density approximation with the first order density gradient correction. Previously known results are revised and improved with a clear description of the underlying approximations. A fully non-local Bohm potential, which goes beyond of all previous results and is linked to the electron polarization function in the random phase approximation, for the QHD model is presented. The dynamic QHD exchange correlation potential is introduced in the framework of local field corrections, and considered for the case of the relaxation time approximation. Finally, the range of applicability of the QHD is discussed.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/4c8590b9075d1e1600ad7484360ce1f9ba519cca
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In Applied Mathematics
In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
- P. Hamann
- Michael Bonitz
- Kushal Ramakrishna
- S. Zhang
- Z. Moldabekov
- Jan Vorberger
- A. Filinov
- H. Kählert
Citations in the corpus
- Ab initio simulation of warm dense matter (2019, methodology): “Note that this value applies only to small wave numbers whereas for large wavenumbers, q 2kF , it will approach the value 3/5 [81].”