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Analytical solution for the one-dimensional scattering problem

Authors:	H Eleuch YV Rostovtsev

Institution:	^a Institute for Quantum Studies and Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA ^b King Saud University, College Of Science, Matheamatics Department, P.O. Box 2455, Riyadh 11451, Saudi Arabia ^c Applied Physics Group, Engineering Quad, Princeton University, NJ 08544, USA ^d Department of Physics, University of North Texas 1155, Union Circle 311427, Denton, TX 76203-5017, USA

Abstract:	We introduce the scattering problem in the case of one-dimensional space. The transmission factor is calculated for the whole domain of the potential energy. Connection with a field in interaction with a two-level quantum system is established for which the coupling parameter is considered to be explicitly time-dependent.

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