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Type: Artigo de periódico
Title: An Exact Effective Hamiltonian For A Perturbed Landau Level
Author: Wilkinson M.
Abstract: This paper considers the effect of a scalar potential V (x, y) on a Landau level in two dimensions. An exact effective Hamiltonian is derived which describes the effect of the potential on a single Landau level, expressed as a power series in V/Ec, where E, is the cyclotron energy. The effective Hamiltonian can be represented as a function H (x, p) in a onedimensional phase space. The function H (x, p) resembles the potential V (x, y): when the area of a flux quantum is much smaller than the square of the characteristic length scale of V, then H 3 V. Also H (x, p) retains the translational and rotational symmetries of V(x, y) exactly, but reflection symmetries are not retailed beyond the lowest order of the perturbation expansion. © 1987 IOP Publishing Ltd.
Rights: fechado
Identifier DOI: 10.1088/0305-4470/20/7/022
Date Issue: 1987
Appears in Collections:Unicamp - Artigos e Outros Documentos

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