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Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, II. Impurities, confinement and Bloch oscillations. (Articolo in rivista)

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Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, II. Impurities, confinement and Bloch oscillations. (Articolo in rivista) (literal)

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Gosse L. (2004)
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, II. Impurities, confinement and Bloch oscillations.
in Journal of computational physics (Print)
(literal)

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IAC-CNR ''Mauro Picone'' (sezione di Bari), Via Amendola 122/I, 70126 Bari, Italy (literal)

Titolo

Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, II. Impurities, confinement and Bloch oscillations. (literal)

Abstract

We present a computational approach for the WKB approximation of the wavefunction of an electron moving in a periodic one-dimensional crystal lattice by means of a nonstrictly hyperbolic system whose flux function stems from the Bloch spectrum of the Schrodinger operator. This second part focuses on the handling of the source terms which originate from adding a slowly varying exterior potential. Physically, relevant examples are the occurrence of Bloch oscillations in case it is linear, a quadratic one modelling a confining field and the harmonic Coulomb term resulting from the inclusion of a ''donor impurity'' inside an otherwise perfectly homogeneous lattice. (literal)

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