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Particle Transmission Through a Barrier of Time-Dependent Opacity

We discuss the one-dimensional scattering of an arbitrary incident wave packet by a localized potential subjected to a time-dependent perturbation. It is shown that an exact solution can be obtained for an ample class of time dependencies provided that they are smaller than the unperturbed potential...

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Bibliographic Details
Published in:Brazilian journal of physics 2015-08, Vol.45 (4), p.404-408
Main Author: da Costa, Rogério C. T.
Format: Article
Language:English
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Summary:We discuss the one-dimensional scattering of an arbitrary incident wave packet by a localized potential subjected to a time-dependent perturbation. It is shown that an exact solution can be obtained for an ample class of time dependencies provided that they are smaller than the unperturbed potential. Simpler solutions can also be obtained (under particular conditions) by looking for the incident wave which produces a specified transmitted wave packet.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-015-0325-z