Quasiclassical Model of Impurity Shielding by Quantum Plasma in Magnetic Field

  • Norman J. Horing


A “quasiclassical model” of the quantum plasma in a magnetic field is discussed here. This model is predicated on the assumption that the internal dynamics of the quantum plasma are essentially classical: However, the distribution function which weights statistical averages is taken to be the appropriate quantum distribution function which takes account of both the Pauli principle and Landau quantization of energy levels in a magnetic field.

The static shielding law of the quasiclassical model is evaluated for low-intermediate magnetic field strengths. The recent work of A.K. Das and E. dè Alba is thereby generalized to nonzero temperature and intermediate field strength to take account of de Haas-van Alphen (DHVA) oscillatory phenomena. This spatially isotropic static shielding law is seen to be of the Debye-ThomasFermi (DTF) type. The physical information embodied in the static shielding law of the quasiclassical model is evaluated, limitations are noted, and possibilities for improvement are discussed.

Finally, the plasmon dispersion relation of the quasiclassical model with ambient magnetic field is given here.


Pauli Principle Magnetic Field Effect Oscillatory Phenomenon Quantum Plasma Ambient Magnetic Field 
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References and Footnotes

  1. 1.
    -N. J. Horing, Proc. Int. Conf. Physics of Semiconductors, Kyoto, Japan, 1966, J. Phys. Soc. Japan, Vol. 21 Supp., 1966, pp. 704 ff.Google Scholar
  2. 2.
    -N. J. Horing, Annals of Physics, Vol. 21, No. 1, Jan. 1965, pp. 1 ff.MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    -A. K. Das and E. de Alba, private communication, to be published.Google Scholar

Copyright information

© Springer Science+Business Media New York 1969

Authors and Affiliations

  • Norman J. Horing
    • 1
  1. 1.Department of PhysicsStevens Institute of TechnologyHobokenUSA

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