Analysis of wavepacket tunneling with the method of Laplace transformation
arXiv:1707.08917
Abstract
We use the method of Laplace transformation to determine the dynamics of a wave packet that passes a barrier by tunneling. We investigate the transmitted wave packet and find that it can be resolved into a sequence of subsequent wave packages. This result sheds new light on the Hartmann effect for the tunneling time and gives a possible explanation for an experimental result obtained by Spielmann et. al.
22 pages; introduction enlarged, example and 1 figure added, Appendix for proof of consistency added