Geodesic
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 
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/
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     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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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Case K., Ann. Phys., 9:1 (1960), 1–23 | DOI | MR | Zbl

[2] Keiz K., Tsvaifel P., Lineinaya teoriya perenosa, Mir, M., 1972

[3] Latyshev A. V., Prikl. matem. i mekh., 54:4 (1990), 581–586 | MR | Zbl

[4] Latyshev A. V., Yushkanov A. A., Matem. modelirovanie, 2:6 (1990), 55–63 | MR | Zbl

[5] Latyshev A. V., TMF, 85:3 (1990), 428–442 | MR

[6] Latyshev A. V., TMF, 86:3 (1991), 402–419 | MR

[7] Latyshev A. V., ZhVMiMF, 31:3 (1991), 436–447 | MR | Zbl

[8] Pazooki N., Loyalka S. K., Intern. J. Heat Mass Transfer., 28:11 (1985), 2019–2027 | DOI | Zbl

[9] Siewert C. E., Garcia R. D. M., Grandjean P., J. Math. Phys., 21:12 (1980), 2760–2763 | DOI | MR | Zbl

[10] Bowden R. L., McCrosson F. J., Rhodes E. A., J. Math. Phys., 9:5 (1968), 753–759 | DOI

[11] Leonard A., Mullikin T. W., J. Math. Phys., 5:3 (1964), 399–411 | DOI | MR

[12] Nestadt K., Siewert C. E., Nucl Sci. Engin., 58:12 (1975), 330–332

[13] Siewert C. E., Burkhart A. R., Nucl. Sci. Engin., 58:2 (1975), 337–339 | MR

[14] Haggag M. H., Machali H. M., Madkour M., Astrophys. and Space Science, 147:2 (1988), 295–306 | DOI | MR

[15] Mullikin T. W., Victory D., J. Math. Anal. Appl., 58 (1977), 605–630 | DOI | MR | Zbl

[16] Kelly C. T., J. Integral Equations, 3 (1981), 261–275 | MR

[17] Landau L. D., ZhETF, 14:2 (1946), 574–591 | MR

[18] Gokhfeld V. M., Kaganov M. I., Lyubarskii G. Ya., ZhETF, 92:2 (1987), 523–530

[19] Zaiman Dzh., Elektrony i fonony, IL, M., 1962