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arxiv: 0809.4001 · v1 · submitted 2008-09-23 · 🧮 math.AP

Mean position of a particle submitted to a potential barrier

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keywords particlebarriermeanpositionpotentialsubmittedcomputedeviation
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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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