2011
DOI: 10.1007/s13538-011-0043-0
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An Introduction to Quantum Plasmas

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… Show more

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Cited by 31 publications
(13 citation statements)
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“…The other limitations of QHD model can be found in Ref. 29. On the other hand, since retardation effects have not been considered, the range of validity of the present work may be characterized by x p =c ( k ( x p =v F , where c is the light speed.…”
Section: Numerical Results and Discussionmentioning
confidence: 92%
“…The other limitations of QHD model can be found in Ref. 29. On the other hand, since retardation effects have not been considered, the range of validity of the present work may be characterized by x p =c ( k ( x p =v F , where c is the light speed.…”
Section: Numerical Results and Discussionmentioning
confidence: 92%
“…Theoretical investigations of quantum effects on propagation of Gaussian laser beams are carried out within the framework of quantum approach in dense plasmas [37][38][39][40]. Habibi…”
Section: Relativistic Self-focusing Of Chg Laser Beam In Quantum Plasmamentioning
confidence: 99%
“…The Steady force balance equation for quantum plasma is obtained by putting the pressure P given by [4,6] as…”
Section: Steady Quantum Force Balance Equationmentioning
confidence: 99%