Exact solution to the behavior of the electron plasma in a~metal layer in an alternating electric field
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 179-189

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Exact expressions are obtained for the first time for the response of the conduction electrons in a metal layer to an external alternating electric field. Case's well-known method of separation of the variables is modified, and the methods of singular integral equations and boundary-value problems of complex analysis are used. The solutions can be used to determined the screened field and also the absorption in a metal layer in a wide range of frequencies.
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     author = {A. V. Latyshev and A. G. Lesskis and A. A. Yushkanov},
     title = {Exact solution to the behavior of the electron plasma in a~metal layer in an alternating electric field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. V. Latyshev; A. G. Lesskis; A. A. Yushkanov. Exact solution to the behavior of the electron plasma in a~metal layer in an alternating electric field. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 179-189. http://geodesic.mathdoc.fr/item/TMF_1992_90_2_a2/