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Geometrical entropies. The extended entropy

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Zoido Chamorro, Jesús Manuel y Carreño Sánchez, Fernando (2000) Geometrical entropies. The extended entropy. European physical journal B, 17 (3). pp. 459-469. ISSN 1434-6028

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URL Oficial: http://dx.doi.org/10.1007/s100510070125



Resumen

By taking into account a geometrical interpretation of the measurement process [1, 2], we define a set of measures of uncertainty. These measures will be called geometrical entropies. The amount of information is defined by considering the metric structure in the probability space. Shannon-von Neumann entropy is a particular element of this set. We show the incompatibility between this element and the concept of variance as a measure of the statistical fluctuations. When the probability space is endowed with the generalized statistical distance proposed in reference [3], we obtain the extended entropy. This element, which belongs to the set of geometrical entropies, is fully compatible with the concept of variance. Shannon-von Neumann entropy is recovered as an approximation of the extended entropy. The behavior of both entropies is compared in the case of a particle in a square-well potential.


Tipo de documento:Artículo
Información Adicional:

Received 4 November 1999

Palabras clave:Geometrical entropies; Theory of measurement, Miscellaneous theories; Information science; Extended entropy; Variance
Materias:Ciencias > Física > Optica
Ciencias > Física > Partículas
Ciencias > Física > Termodinámica
Código ID:46447
Depositado:23 Feb 2018 13:42
Última Modificación:23 Feb 2018 13:42

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