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Statistical measures of complexity for quantum systems with continuous variables


  • Manzano, D.


The Fisher–Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It is shown that evaluating this measure only in the configuration or in the momentum spaces does not provide an adequate characterization of the complexity of some quantum systems. In order to obtain a more complete description of complexity two new measures, respectively based on the minimization and the integration of the usual Fisher–Shannon measure over all the parameter space, are proposed and compared. Finally, these measures are applied to the concrete case of a free particle in a box.

Suggested Citation

  • Manzano, D., 2012. "Statistical measures of complexity for quantum systems with continuous variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6238-6244.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:6238-6244
    DOI: 10.1016/j.physa.2012.06.058

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    References listed on IDEAS

    1. L. Randall Wray & Stephanie Bell, 2004. "Introduction," Chapters,in: Credit and State Theories of Money, chapter 1 Edward Elgar Publishing.
    2. González-Férez, R. & Dehesa, J.S. & Patil, S.H. & Sen, K.D., 2009. "Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4919-4925.
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