Mean position of a particle submitted to a potential barrier

Details Mean position of a particle submitted to a potential barrier Mean position of a particle submitted to a potential barrier

2008-09-23

arxiv.org/abs/0809.4001v1

Mathematics

Analysis of PDEs

Scientific paper

A one-dimensional Klein-Gordon problem, which is a physical model for a
quantum particle submitted to a potential barrier, is studied numerically :
using a variational formulation and a Newmark numerical method, we compute the
mean position and standard deviation of the particle as well as their time
evolution.

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