Abstract
In this work, we have studied a traveling wave packet when it travels through a rectangular quantum barrier and well. For this purpose, we have calculated the reflection, trapping and transmission coefficient of the cited quantum systems. We show that trapped part of the wave packet increases and then decreases with time. Deeper quantum wells have smaller trapping coefficient while higher quantum barriers have larger trapping coefficient. Changing of the velocity of the wave packet does not change the trapping coefficient. For small barrier heights (well depths), the reflection increases and then approximately saturates when the nonlinear coefficient increases. Finally, there are abrupt changes in the reflection, trapping and transmission coefficients when the barrier (or well) widths increase.
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