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Quantum Corrections to the Screening Length and Anisotropy in Magnetic Field
Author(s) -
Fortini A.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221250131
Subject(s) - semiclassical physics , physics , anisotropy , magnetic field , quantum , field (mathematics) , quantum mechanics , plasma , quantum electrodynamics , condensed matter physics , mathematics , pure mathematics
The self‐consistent linearized Poisson equation leading to the screened potential of an ionized centre embedded in a free carrier plasma, is rewritten in a closed form taking into account the quantum character of the plasma. Complete resolution in the case of Boltzmann statistics clearly shows how quantum corrections cause a departure of the screening length from its usual semiclassical value. Quantum corrections are also responsible for the anisotropy of the screening in a static magnetic field. Calculations are worked out for the case of a strong quantizing field.