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”, TMF, 90:2 (1992), 179–189; Theoret. and Math. Phys., 90:2 (1992), 119

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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 2, Pages 179–189 (Mi tmf5518)

This article is cited in 12 scientific papers (total in 12 papers)

Exact solution to the behavior of the electron plasma in a metal layer in an alternating electric field

A. V. Latyshev^a, A. G. Lesskis^b, A. A. Yushkanov^a

^a Moscow Region Pedagogical Institute named after N. K. Krupskaya
^b Moscow Institute of Chemical Engineering

Full-text PDF (868 kB) Citations (12)

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Abstract: 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.

Received: 02.07.1991

English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 2, Pages 119–126
DOI: https://doi.org/10.1007/BF01028435

Bibliographic databases:

Language: Russian

Citation: 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”, TMF, 90:2 (1992), 179–189; Theoret. and Math. Phys., 90:2 (1992), 119–126

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf5518

https://www.mathnet.ru/eng/tmf/v90/i2/p179

This publication is cited in the following 12 articles:

A.A. Yushkanov, N.V. Zverev, “Quantum electron plasma, visible and ultraviolet P-wave and thin metallic film”, Physics Letters A, 381:6 (2017), 679
A. N. Latyshev, A. A. Yushkanov, “Nanofilm thickness measurement by resonant frequencies”, Quantum Electron., 45:3 (2015), 270–274
S. V. Berezkina, I. A. Kuznetsova, A. A. Yushkanov, “Behavior of an electron plasma in a thin metallic slab placed in a variable electric field”, Tech. Phys., 51:5 (2006), 533
Latyshev, AV, “Analytical solution to the skin-effect problem for an arbitrary accommodation coefficient of electron tangential momentum”, Technical Physics, 45:8 (2000), 955
A. V. Latyshev, A. A. Yushkanov, “Application of the Case method in the analytic solution of a generalized problem of skin effect in a metal”, Comput. Math. Math. Phys., 39:6 (1999), 951–967
A. V. Latyshev, G. V. Slobodskoi, “Solution of a problem concerning the distribution of gas molecules in a layer with mirror boundary conditions”, J Eng Phys Thermophys, 72:5 (1999), 833
A. V. Latyshev, A. A. Yushkanov, “Poiseuille problem for an ellipsoidal-statistical equation and nearly specular boundary conditions”, Tech. Phys., 43:11 (1998), 1294
A. V. Latyshev, A. A. Yushkanov, “Construction of the model transport equation of massless Bose gas and its analytic solution”, Theoret. and Math. Phys., 111:3 (1997), 762–770
A. V. Latyshev, G. V. Slobodskoi, A. A. Yushkanov, “Boundary-value problem for the kinetic equation in a layer with mirror boundary conditions”, J. Appl. Mech. Tech. Phys., 38:6 (1997), 842–849
A. V. Latyshev, A. A. Yushkanov, “Analytic solution to the problem of the behavior of a collisional plasma in a half-space in an external alternating electric field”, Theoret. and Math. Phys., 103:2 (1995), 573–582
A. V. Latyshev, A. A. Yushkanov, “Analytic solution of a problem on the resistance of the interface between crystallites”, Comput. Math. Math. Phys., 33:4 (1993), 543–551
A. V. Latyshev, A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Specular boundary conditions”, Comput. Math. Math. Phys., 33:2 (1993), 229–239

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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