Lifetimes of impurity states in crossed magnetic and electric fields

Physics – Condensed Matter

Scientific paper

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13 pages, no figures, submitted to J. Math. Phys

Scientific paper

10.1063/1.532886

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic field and an in-plane weak electric field. All impurity states are unstable in presence of the electric field. Their lifetimes are computed and shown to grow in a Gaussian way as the electric field tends to zero.

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