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An Introduction to Quantum Plasmas

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Abstract

Shielding effects in non-degenerate and degenerate plasmas are compared. A detailed derivation of the Wigner-Poisson system is provided for electrostatic quantum plasmas in which relativistic, spin, and collisional effects are not essential. A detailed derivation of a quantum hydrodynamic model starting from the Wigner-Poisson system is presented. The route for this derivation considers the eikonal decomposition of the one-body wavefunctions of the quantum statistical mixture. The merits and limitations of the resulting quantum hydrodynamic model are discussed.

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Acknowledgements

This work was supported by the CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico).

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  1. Departamento de Física, Universidade Federal do Paraná, 81531-990, Curitiba, Paraná, Brazil

    Fernando Haas

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  1. Fernando Haas
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Correspondence to Fernando Haas.

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Haas, F. An Introduction to Quantum Plasmas. Braz J Phys 41, 349–363 (2011). https://doi.org/10.1007/s13538-011-0043-0

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