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Maximum-entropy technique with logarithmic constraints: Estimation of atomic radial densities

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The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics Aims and scope Submit manuscript

Abstract:

Maximum-entropy (ME) approximations to density functions involving logarithmic constraints are studied. It is proved the existence and uniqueness of the ME approximation constrained by the normalization, the geometric mean and (i) a moment of arbitrary order, or (ii) the logarithmic uncertainty. A numerical analysis of the accuracy of these ME approximations is carried out for the radial electron densities of neutral atoms in both position and momentum spaces.

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Authors and Affiliations

  1. Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071-Granada, Spain, , , , , , ES

    J.C. Angulo, J. Antolín & A. Zarzo

  2. Departament d'Enginyeria Agroforestal, ETSEA, Universitat de Lleida, 25006-Lleida, Spain, , , , , , ES

    J.C. Cuchí

Authors
  1. J.C. Angulo
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  2. J. Antolín
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  3. A. Zarzo
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  4. J.C. Cuchí
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Received 23 November 1998 and Received in final form 20 May 1999

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Angulo, J., Antolín, J., Zarzo, A. et al. Maximum-entropy technique with logarithmic constraints: Estimation of atomic radial densities. Eur. Phys. J. D 7, 479–485 (1999). https://doi.org/10.1007/s100530050375

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  • DOI: https://doi.org/10.1007/s100530050375

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