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Statistical measure of complexity for quantum systems with continuous variables

Quantum Physics 2012-11-20 v3 Mathematical Physics math.MP

Abstract

The Fisher-Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It is probed then than calculating it only in the configuration and momentum spaces will not give a complete description for certain systems. Then a more general measure for the complexity of a quantum system by the integration of the usual Fisher-Shannon measure over all the parameter space is proposed. Finally, these measures are applied to the concrete case of a free particle in a box.

Keywords

Cite

@article{arxiv.1105.0628,
  title  = {Statistical measure of complexity for quantum systems with continuous variables},
  author = {Daniel Manzano},
  journal= {arXiv preprint arXiv:1105.0628},
  year   = {2012}
}

Comments

6 pages, 5 figures. Published version

R2 v1 2026-06-21T18:02:16.378Z