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 |
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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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