A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape

DOI10.1155/S1024123X99001003zbMath0929.35154OpenAlexW2090044583MaRDI QIDQ1305760

N. Ch. Krutitskaya, P. A. Krutitskii, G. Yu. Malysheva

Publication date: 2 February 2000

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48318

zbMATH Keywords

discretizationexistenceuniquenessFredholm equation of the second kindelectric currentHall effectelectrode in a semiconductorskew derivative problem for harmonic functions in the exterior of an open arc

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of semiconductors (82D37) Many-body theory; quantum Hall effect (81V70) Motion of charged particles (78A35) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc ⋮ Application of the discrete Fourier transform to solving the Cauchy integral equation ⋮ Explicit solutions of integral equations and relations for potentials ⋮ Boundary Galerkin method of a skew-derivative problem in the exterior of an open arc based on Chebyshev polynomials ⋮ Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves ⋮ Numerical treatment of the Cauchy integral equation by discrete Fourier transform

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