Abstract
The motion of a charged particle on a linear chain under the action of an electric field with alternating intersite interactions is investigated. Exact solutions for the Wannier state amplitudes, the propagators and the mean square displacement are obtained for the general case of an arbitrary time-dependent electric field, of which a electric field is only a special one. The dynamic localization condition is given for this special case. This condition would make the observation of dynamic localization effect possible.
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