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Título:
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Geometrical entropies. The extended entropy
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Autores:
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Zoido Chamorro, Jesús Manuel ;
Carreño Sánchez, Fernando
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2000-10
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Optica
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Materia = Ciencias: Física: Partículas
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Materia = Ciencias: Física: Termodinámica
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/46447/1/Zoido_geometrical%20emtropies-Springer-2000.pdf
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