English

Mean position of a particle submitted to a potential barrier

Analysis of PDEs 2008-09-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0809.4001,
  title  = {Mean position of a particle submitted to a potential barrier},
  author = {Denis Mercier and Virginie Regnier},
  journal= {arXiv preprint arXiv:0809.4001},
  year   = {2008}
}
R2 v1 2026-06-21T11:23:22.284Z