Impacto
Downloads
Downloads per month over past year
Zoido Chamorro, Jesús Manuel and Carreño Sánchez, Fernando (2000) Geometrical entropies. The extended entropy. European physical journal B, 17 (3). pp. 459-469. ISSN 1434-6028
![]() |
PDF
Restringido a Repository staff only 298kB |
Official URL: http://dx.doi.org/10.1007/s100510070125
Abstract
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.
Item Type: | Article |
---|---|
Additional Information: | Received 4 November 1999 |
Uncontrolled Keywords: | Geometrical entropies; Theory of measurement, Miscellaneous theories; Information science; Extended entropy; Variance |
Subjects: | Sciences > Physics > Optics Sciences > Physics > Particles Sciences > Physics > Thermodynamics |
ID Code: | 46447 |
Deposited On: | 23 Feb 2018 13:42 |
Last Modified: | 23 Feb 2018 13:42 |
Origin of downloads
Repository Staff Only: item control page